# Acute Angle Examples

Classify Triangles Using Sides Scalene Triangle:. Grade 2 kids can learn to identify and distinguish between the four types of angles in this video lesson. It is equal to the acute angle determined by the normal vectors of the planes. Adjacent angles - Adjacent angles are two angles that share a common vertex and one common side. The sum of two acute angles is either acute, right or obtuse. This obtuse angle is defined if the angles are between 90 degree and 180 degree. Using the trigonometric functions to solve for a missing side when given an acute angle is as simple as identifying the sides in relation to the acute angle, choosing the correct function, setting up the equation and solving. Our reference angle calculator is a handy tool for recalculating angles into their acute version. So, for example, each of the exterior angles of a hexagon are 360/6 = 60°. Example: Acute Angle: An angle less that 90°. • an acute angle measures between 0º and 90º. An acute triangle is a triangle with all three angles acute (less than 90°). Between 0° and 360°, this will happen when θ = 90°, or θ = 270°. A right angle is formed when two sides make 900. A chronic condition, by contrast is a long-developing syndrome, such as osteoporosis or asthma. This page is a simple, easy-to-follow beginner's guide to the different types of angles. From right obtuse acute worksheets to acute obtuse right triangles videos, quickly find teacher-reviewed educational resources. Honestly, between the direction vector $v=(10,5,-5)$ and the normal vector $( 2,-1,4)$ the angle is not acute, in fact it is obtuse (you can see that by a simple plot). Once you have determined the types of angles you can classify the triangle as an Acute Triangle, Right Triangle, or Obtuse Triangle. Right Angle: An angle that is exactly 90°. I also found obtuse angles on the door way, the window blinds moldings, and the dining room chairs. All acute angles have a complement, and collectively they add up to 90 degrees. An acute angle falls somewhere between nonexistent and a right angle (see Figure 4). To learn about trigonometric functions of an acute angle Consider a right triangle ABC , with the right angle at C and with lengths a , b , and c , as in the figure on the right. Other examples areObtuse AnglesObtuse angle is angle greater than a right angle but smaller than a straight angle. See 12 authoritative translations of Acute in Spanish with example sentences and audio pronunciations. Trigonometric functions for acute angles There are three basic trigonometric functions for acute angles: Sine (Sin), Cosine (Cos), and Tangent (Tan). Acute Angle: A bend which is less than 90 °. ) I would like the legs to be labeled a and b and the hypotenuse to be labeled c. An angle measuring 180 degrees is a straight angle, while an angle measuring more than 180 degrees is a reflex angle. Angles In A Triangle Worksheet Types of Angles Acute Obtuse Right Worksheets from Angles In A Triangle Worksheet , source: pinterest. This page is a simple, easy-to-follow beginner's guide to the different types of angles. So for example in the figure above we could refer to the angle ∠ ABC as the "included angle of BA and BC". If the angle opens beyond that, it is a reflex angle. My real life example is a chair. Note: A trigonometric ratio is a ratio between two sides of a right triangle. Types of Angles In geometry, there are three types of angles: acute angle-an angle between 0 and 90 degrees right angle-an 90 degree angle obtuse angle-an angle between 90 and 180 degrees straight angle-a 180 degree angle Here are a few examples of angles:. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Trigonometry, at it's most basic level, is concerned with the measurement of triangles - calculations of unknown lengths and angles. Acute Triangle: A triangle measuring all its angles less than 90o is called acute triangle. For example, a student might see an angle greater than 180 degrees at the top of the letter A. For Your FOLDABLE Check Progress Check Point The piece f quilt fabric e of a right triangl. The closer to the vertex, the smaller the distance. EXAMPLE 2 Evaluating Trigonometric Functions of 30° Find the values of all six trigonometric functions for an angle of 30°. The normal picture of the acute angle is given as, Pictures of acute angle: The acute angles are referred by using the pictures which measures the angle less then 90 degree. Straight Angle A straight angle is an angle with measure equal to 180 degrees. Acute often also connotes an illness that is of short duration, rapidly progressive, and in need of urgent care. We illustrate this in Example 2 with another well-known triangle. Estimate the angle that the teacher with the flashing arrow is positioned at. There are many examples of acute angles found within the classroom, including the side of a folding easel, a pencil tip, the top of the letter "A" and the number "7. It contains varied exercises, including several where students explore these concepts -- and even the angle sum of a triangle -- by drawing. The two hands form different angles every minute of the time. You need to be careful when identifying these types of angles, because they can look like acute or obtuse angles. Some real-life examples of acute angles are: If we slice a pizza into 5 or more slices, each slice of pizza will make an acute angle. , use dynamic geometry software to determine that the ratio of the side lengths equals the ratio of the sines of the opposite angles; follow the algebraic development of the sine law. What's the adjective for angle? Here's the word you're looking for. A full circle is 360°; half a circle is 180° and quarter a circle in 90°. having a sudden onset, sharp rise, and short course. Acute Angles: Less than 90 Degrees. Can you define the reflex angle? It has the angle between 180 degree and 360 degree. , less than 90 o. An angle of less than 90°. acute angle e, we can form a right triangle, like the one illustrated in Figure 19(b), with hypotenuse of length c and legs of lengths a and b. Acute - any angle which measures less than 90 degrees. All the angles below are acute angles: Also: the letter "A" has an acute angle. Just look around. Many translated example sentences containing "acute angle" – Spanish-English dictionary and search engine for Spanish translations. Angles 2 and 7 above, as well as angles 3 and 6 are examples of alternate interior angles. (a) If two angles are complement of each other then each angle is an acute angle, but any two acute angles need not be complementary, for example, 20° and 60° are acute angles but are not complement of each other. Check the buying price of Acute 30 Bar Stool by Brave Space Design before obtain any store. In order to facilitate comparison among layers, all angles were measured as acute angles relative to the horizontal axis of the body. Four Angles Acute Right Obtuse Straight 2. It looks like this is a right angle or a 90-degree angle. Find descriptive alternatives for acute. A pair of tweezers, the tip of a Chihuahua ear, salad tongs, a miter. A vehicle component that can include a suspension system for bicycles, electric bicycles, or electric scooters. The following table shows the different types of angles: right angles, acute angles, obtuse angles, straight angles, reflex angles and full angles. Combine terms. Right - any angle which measures exactly 90 degrees. Suggested Videos. This obtuse angle is defined if the angles are between 90 degree and 180 degree. (No coordinate axes. Acute angles are angles less than 90º. Just look around. Any help appreciated. or by the three letters on the shape that define the angle, with the middle letter being where the angle actually is (its vertex). See Figure 11. First we need to determine the sign of the given trigonometrical ratio. They define the angle and show examples, using available resources, books, Internet, etc. Take a closer look at what these two types of triangles are, their properties, and formulas you'll use to work with them in math. The picture above shows two parallel lines with a transversal. Suggested Videos. Improve your math knowledge with free questions in "Acute, right, obtuse, and straight angles" and thousands of other math skills. Thus θ ≈ 65°, assuming that θ is acute. An obtuse-angled triangle has one angle greater than 90º. For instance, if the acute angle is 63 degrees, its complementary angle is 27 degrees. A right triangle has a 90° angle, while an oblique triangle has no 90° angle. Basic Trigonometric Ratios: Examples (page 1 of 2) Right triangles are nice and neat, with their side lengths obeying the Pythagorean Theorem. Develop protractor usage skills. Right angles are the most common feature found in most sheet metal. Euclid and Acute Angles. Our reference angle calculator is a handy tool for recalculating angles into their acute version. Acute angle of the enormous exhibition space on the south bank of the River Thames in London View of the brick wall at an acute angle. If you have a straight angle it is the equal to exactly 180 degrees. Right Angle Acute Angle Straight Angle Obtuse Angle Examples Of Right Angle Obtuse angle: An angle whose measure is greater than 90 degrees. Recognize right triangles as a category, and identify right triangles. Segments, Rays and Angles. That's because this is all about the Hypotenuse Angle Theorem, or HA Theorem, which allows you to prove congruence of two right triangles using only their hypotenuses and acute angles. Also, angles less than 90º are called acute angles, while those greater than 90º are called obtuse angles. Find the acute angle between the two curves y=2x 2 and y=x 2-4x+4. In these lessons, we will learn the following types of angles: right angles, acute angles, obtuse angles, straight angles, reflex angles and full angles. Thus θ ≈ 65°, assuming that θ is acute. acute: [adjective] characterized by sharpness or severity. We illustrate this in Example 2 with another well-known triangle. The acute angle between the optic axes is called the 2V angle. We can do this. Two angles are said to be complementary if their sum equals 90º. This is called the ambiguous case. Acute angle-closure glaucoma (AACG) is an ocular emergency and receives distinction due to its acute presentation, need for immediate treatment, and well-established anatomic pathology. nursing case study acute pain Welcome to Nursing Praxis in New Zealand Ranking - 2010 ERA Rank A Our. But there is a difference between second and first quadrant. The number of acute angles is at most 8-t = 3. When the term is given to a triangle as in an acute triangle, it means that all angles in the triangle are less than 90 degrees. An obtuse isosceles triangle has one obtuse interior angle and two equivalent acute interior angles. For example, an acute triangle could have an 80-degree angle, a 55-degree angle and a 45-degree angle. Question 1: Reference Angle: the acute angle between the terminal arm and the x-axis; reference angle is always positive. To classify triangles by angles you must determine if each angle in the triangle is acute, right or obtuse. These formulae are only applicable for an acute angle in a right-angled triangle, and so the. less than 90' acute angle. Look it up now!. A right-angled triangle has one angle equal to 90°. Knives are not acute or obtuse -- only sharp or dull are used for that literal sharpness -- but when someone's wit or intelligence is sharp we might refer to them as "sharp" or "acute," and when they are dull, we might say they are obtuse. 3, the definitions of trigonometric functions were restricted to acute angles. co-terminal angles Angles of rotation in standard position are co-terminal of they share the same terminal side. Right angles have a measure of exactly 90 degrees. Acute triangles are triangles that have all acute angles. Example 1: A triangle has angles 46º, 63º and 71º. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. The acute angle is a very common angle, we see it in different geometric figures such as: triangle, rhombus, circumference, and so on. Trigonometric Functions: An angle having measure greater than but less than is called an acute angle. RE: Can anyone give me real life examples of the 7 types of triangles? I am doing a geometry project and I have to give a real example of all the triangles( acute, obtuse, right, scalene, isosceles, and equiangular). The side which is opposite to right angle is known as hypotenuse, the side opposite to angle A is called perpendicular for angle A and the side opposite to third angle is called base for angle A. Two angles whose measures add up to 90 degrees are called complementary angles. It looks like this is exactly going down, and this is going exactly to the left, that this is a 90-degree angle here. The fact that you can't draw a right triangle with a base angle of 300° was irrelevant. The best source for free angles worksheets. Example: Acute Angle: An angle less that 90°. This would solve the problem of cutting the front bevels, with its fence set at an acute angle to the plane sole and guided by the back of the molded strip. Acute Angle vs Obtuse Angle Angles are defined as the shape formed by the intersection of two straight lines. Converse: If the angle is acute, it is less than 90º. The notation of an acute angle is represented as in the following manner 0 0 < theta <90 0. There are three types of triangles based on its sides. Notice that the two angles for a right angle when together. angle - Translation to Spanish, pronunciation, and forum discussions. I also found obtuse angles on the door way, the window blinds moldings, and the dining room chairs. Trigonometry. If the sum of two angles equals 180º, the angles are said to be supplementary. Since the sum total of the interior angles of every triangle must equal degrees, the solution is: Therefore, each of the two equivalent interior angles must have a measurement of degrees each. These triangles always have at least two acute triangles. Example: In the figure, m∠2 = 75. Name all the angles in the diagram at the right. If IOP remains elevated following these measures in acute angle­-closure glaucoma, as well as in cases of chronic angle-closure glaucoma, it is lowered in a fashion similar to open-angle glaucoma with IOP-lowering medications, and if these are ineffective, then IOP-lowering surgery. All acute angles have a complement, and collectively they add up to 90 degrees. • corresponding angles • alternate interior angles • alternate exterior angles. The motives alike of geographical convenience and of the advantages to be gained by recognizing these movements of Roman subjects combined to urge a forward policy at Rome, and when the vigorous Vespasian had succeeded the fool-criminal Nero, a series of advances began which gradually closed up the acute angle, or at least rendered it obtuse. Consider a right angled triangle ABC with right angle at B. (b) Two obtuse angles and two right angles cannot be complement of each other. Definition of assonance: Assonance is the repetition of a vowel sound that occurs in words that do not rhyme. There are many examples of acute angles found within the classroom, including the side of a folding easel, a pencil tip, the top of the letter "A" and the number "7. Have students complete the worksheet, and go over the answers before going on to the lesson. An angle that has measure less than 90°. All of the angles in these figures are acute: An angle that has a measure less than a right angle (less than 90 degrees) Developing vocabulary. Suggested Videos. If two segments or lines meet at a 90 degree angle we say they are perpendicular. Angles are. SOLUTION A 30° angle occurs in a triangle, which can be con-. Successive half-turns about two skew axes a, b are equivalent to a twist about a screw whose axis is the common perpendicular to a, b, the translation being double the shortest distance, and the angle of rotation being twice the acute angle between a, b, in the direction from a to b. An acute angle makes a sharp point. If two angles sum to 90, they are said to be complementary. The hypotenuse of a right triangle is related to the sides by the Pythagorean relationship: From the two sides, either of the two acute angles may be found: Given any two sides, the angles may be found using the triangle trigonometric relationships. • Identify and use congruent angles and the bisector of an angle. ABC Use a protractor to measure Also, tell whether the angle is acute, obtuse, or right. In the video below, I asked students to describe why one angle of a triangle showed an obtuse angle, and another student saw it as a right angle, and there was also an acute angle as well. Acute angles are one of several types of angles, based on how much they measure. There are three types of angles: right angles, acute angles, and obtuse angles. So, in a right triangle, it should be noted that the two acute angles are complementary. The sign of the two preceding functions depends on the quadrant in which the resulting angle is located. A pair of tweezers, the tip of a Chihuahua ear, salad tongs, a miter. Acute tooling, comes in two basic angles: 30° and 45°. A way to remember Sometimes we can confuse acute and obtuse angles. Obtuse Triangle: A triangle with one of its angle measuring more than 90o is called obtuse triangle. Inequalities are useful in many situations. Find the easure of LACD. Two angles in standard position that have the same terminal ray are called coterminal. It is an emergency because if it is not treated quickly, it can lead to permanent loss of vision. An acute-angled triangle has all angles less than 90º (i. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more. They are: Acute Angle Adjacent Angle Angle Bisector Collinear Concave Polygon Congruent Convex Polygon Line Line Segment Linear pair Midpoint Obtuse Angle Parallel lines Perpendicular Lines Plane Point Ray Right Angle Slope Vertical Angles If you could help me by giving examples of what in the real world. Tilings of two kinds of rhombi, with acute angles of 36 or 72 degrees, and the further property that an acute angle of one kind of rhombus meets only acute angles of the same kind and obtuse angles of the other kind of rhombus, [] and vice versa, are called binary tilings. Definition & Examples Home » The Writer’s Dictionary » What is a Compound Adjective? Compound adjective definition: A compound adjective is a single adjective that uses more than one word to form the compound adjective. An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. It's - you guessed it - a straight line. Classifying Triangles Game. Classifying Angles We classify angles by size. An Angle in Geometry An angle is the rotation required to superimpose one of two intersecting lines on the other. To solve a triangle means to find all the missing measures of the triangle. A vehicle component that can include a suspension system for bicycles, electric bicycles, or electric scooters. The classification of triangles according to angle measure is shown in the following figure. The sum of the angles of any triangle is 180°. Adjoining - When two objects share a common boundary, they are. Shortness of breath. , founded in 2015, is a diversified and innovative technology company. Right Angle: A bend equal to 90 °. formed by the terminal side of θ. La membrane pouvant être rompue est inclinée vers le bas en formant un angle aigu avec l'axe longitudinal de la cellule. So, in a right triangle, it should be noted that the two acute angles are complementary. Acute Angle Funny Math-Math Lover Gift Long Sleeve T-Shirt. Different Angles have different names: An Acute Angle is less than 90°. My real life example is a chair. Also, tell whether the angle is acute, obtuse, or right. Examples from Classical Literature Suddenly we turned into a valley, at an acute angle with our previous road. One of the acute angles in a right triangle measures 2x°. Example 1 Find the reference angle for each angle. In this quiz, you'll not only recognize acute angles, but identify possible places you. An acute angle triangle (or acute angled triangle) is a triangle that has acute angles as all of its interior angles. Determine the reference angle of 130°. The normal picture of the acute angle is given as, Pictures of acute angle: The acute angles are referred by using the pictures which measures the angle less then 90 degree. JLM and JLK form a linear pair, so they are supplementary. Which angle is a right angle? 2. Related [ change | change source ]. com, a free online dictionary with pronunciation, synonyms and translation. Angles of less than 90 degrees are called acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse. CHAPTER 8: ACUTE TRIANGLE TRIGONOMETRY Specific Expectations Addressed in the Chapter • Explore the development of the sine law within acute triangles (e. acute angle n. Two angles whose measures add up to 90 degrees are called complementary angles. all three angles are acute). Types of Angles: Acute, Obtuse, Right This page has printable geometry PDFs on angle types. com, a free online dictionary with pronunciation, synonyms and translation. The motives alike of geographical convenience and of the advantages to be gained by recognizing these movements of Roman subjects combined to urge a forward policy at Rome, and when the vigorous Vespasian had succeeded the fool-criminal Nero, a series of advances began which gradually closed up the acute angle, or at least rendered it obtuse. Acute Angles in the Real World In the Classroom. Three of these angles are acute, and two are obtuse. This angle is less than 90°, but more than 0°. The normal protractor measures 0° to 180°. CHAPTER 8: ACUTE TRIANGLE TRIGONOMETRY Specific Expectations Addressed in the Chapter • Explore the development of the sine law within acute triangles (e. SOLUTION A 30° angle occurs in a triangle, which can be con-. The classification of triangles according to angle measure is shown in the following figure. Examples: 60, 60, 60 70, 60, 50 45, 50, 85 45, 45. However as you are asking about the angle between a line and a plane, so the you must take care of the orientation of the vectors you are working with. This strikes me as quite a basic thing to want to check for, before generating a building. An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). angles that are less then 90 degrees are called Acute-angled triangles tells about a tringle that has acute angles regardless of the length of the sides. Acute often also connotes an illness that is of short duration, rapidly progressive, and in need of urgent care. Right angles have a measure of exactly 90 degrees. The ratio used depends upon. A full circle has 360°. You may wish to give them an example to help them remember this fact. less than 90' acute angle. Example: Consider ΔABC in the figure below. The real world protractor compared to the miter saws angle table. (noun) An example of an oblique angle is one that is 95 degrees. The side opposite the right angle is called the hypotenuse. All of the angles in these figures are acute: An angle that has a measure less than a right angle (less than 90 degrees) Developing vocabulary. Acute Angle: A bend which is less than 90 °. They do not overlap. Acute Angle vs Obtuse Angle Angles are defined as the shape formed by the intersection of two straight lines. Two acute angles formed by dividing the right angle. Examples of acute angles in real life Letters A, K, M, N, R, V, W, X, Y, Z Scissors Divider, Compass, Set squares Arrow head Funnel Coat hanger Book while holding in. But perhaps something is hindering your ability to cut--leaving the saw's gauge with a limited. , use dynamic geometry software to determine that the ratio of the side lengths equals the ratio of the sines of the opposite angles; follow the algebraic development of the sine law. Free Online Library: Defect Analysis in Microgroove Machining of Nickel-Phosphide Plating by Small Cross-Angle Microgrooving. They are supplementary angles. Corresponding angles on parallel lines are always equal. Understanding Angles and its Types. 2 Section 2. 90 30, 60, 90 But if one of the angles is obtuse (>90 degrees), then the other two must be acute. The two hands form different angles every minute of the time. We studied that1 revolution = Full angle1/4 revolution = Right Angle1/2 revolution = Straight angleNow,Acute angleis less than right angle. Successive half-turns about two skew axes a, b are equivalent to a twist about a screw whose axis is the common perpendicular to a, b, the translation being double the shortest distance, and the angle of rotation being twice the acute angle between a, b, in the direction from a to b. Many of them used the square to determine if the angles were acute or obtuse. Right Angle Acute Angle Straight Angle Obtuse Angle Examples Of Right Angle Obtuse angle: An angle whose measure is greater than 90 degrees. Angles of less than 90 degrees are called acute angles. They are alternate exterior angles. To solve a triangle means to find all the missing measures of the triangle. The angles of the 10-gon need to sum up to $8\cdot 180^\circ = 1440^\circ$. Take a closer look at what these two types of triangles are, their properties, and formulas you'll use to work with them in math. (Research Article) by "Journal of Nanomaterials"; Printer Friendly 34,058,147 articles and books. We can do this. If two angles sum to 180, they are supplementary. An acute angle (geometry) An acute angle is an angle of less than 90 degrees (π/2 radians). Types of Triangles - right triangles, acute triangles, obtuse triangles, oblique triangles, equilateral triangles, equiangular triangles, isosceles triangles and scalene triangles, examples and step by step solutions, how to solve problems involving angles and sides of triangles, examples with step by step solutions. Acute Angles Lesson Plans & Worksheets Reviewed by Teachers. Hypotenuse Angle (HA) Theorem (Proof & Examples) Geometry may seem like no laughing matter, but this lesson has more than one HA moment. Some examples of acute angles are 45. Other examples areReflex AnglesReflex angle is. Also, angles less than 90º are called acute angles, while those greater than 90º are called obtuse angles. The measure of an angle is 20 less than the measure of its supplement. Angle 3 and Angle C fields are NOT user modifiable. 2: Trigonometric Functions of Non-Acute Angles I. If we close the third sides of these angles, acute, right and the obtuse triangles are formed. acute angle. Use the adjective acute for when you want to describe something as sharp or extremely serious. Three Main Types of Angles. Since a triangle's angles must sum to 180°, no triangle can have more than one obtuse angle. Acute angle - Any angle smaller than 90°. A way to remember is that small things tend to be cute. We studied that1 revolution = Full angle1/4 revolution = Right Angle1/2 revolution = Straight angleNow,Acute angleis less than right angle. Successive half-turns about two skew axes a, b are equivalent to a twist about a screw whose axis is the common perpendicular to a, b, the translation being double the shortest distance, and the angle of rotation being twice the acute angle between a, b, in the direction from a to b. Inequalities are useful in many situations. Remember a right triangle has one 90 degree or right angle, an acute triangle has all angles less than 90 degrees, or less than a right angle, and an obtuse triangle has one angle greater than 90 degrees or greater than a right angle. Acute often also connotes an illness that is of short duration, rapidly progressive, and in need of urgent care. An acute angle triangle (or acute angled triangle) is a triangle that has acute angles as all of its interior angles. Here's a link to an article. These angles are smaller than a straight angle and larger than a right angle. , less than 90 o. This is commonly denoted with a small box in the corner. use-in-a-sentence. The cross-section is irregular, often sub-rhombic, while the intersection between the pieces two faces forms an acute angle of between 60 and 90 degrees. Right Triangle Based Definitions The six major trigonometric functions of an angle , sine, cosine, tangent, cosecant, secant, and tangent, can easily be redefined as ratios of the lengths of the sides of right triangles. Obtuse Angle. The range of an acute angle is between 0 and 90 degrees. Two angles whose measures add up to 90 degrees are called complementary angles. Obtuse Angle This is Obtuse. That word comes from a word that means "sharp"; a sharp pencil or a sharp knife will look like this. give the angle a name, usually a lower-case letter like a or b, or sometimes a Greek letter like α (alpha) or θ (theta) 2. having a sudden onset, sharp rise, and short course. One of the acute angles in a right triangle measures 2x°. Since a triangle's angles must sum to 180°, no triangle can have more than one obtuse angle. Each angle is done twice. Acute primary angle closure (PAC) occurs when IOP rises rapidly as a result of relatively sudden blockage of the trabecular meshwork by the iris. Drinking coffee can sharpen one's mental acuity for short periods of time. The Angles Come and meet the Angle family “Hi! We’re the Angles, we’re one family, but all very different, so let us tell you a bit about ourselves!” Mr. 2 Section 2. Do the vectors form an acute angle, right angle, or obtuse angle?. Angles in a circle add up to 360°. In mathematics, an acute angle is a "sharp" angle, "pointier" than a right angle. The angle 6 is 65°. See Figure 11. SOLUTION A 30° angle occurs in a triangle, which can be con-. An acute triangle has to have all angles acute. The ratio used depends upon.