triangle sum theorem

Remember that the sum of all angles inside a triangle is 180 degrees. Start studying 5.08 the triangle sum theorem. We have a right angle! They're customizable and designed to help you study and learn more effectively. So, if you want to find a missing angle measurement, just subtract the angle measurements that you have from 180 degrees. Example: The exterior angle is 35° + 62° = 97° And 97° > 35° And 97° > 62° Why? 2. dmathprofessor_57304. 10. Enrolling in a course lets you earn progress by passing quizzes and exams. To play this quiz, please finish editing it. Please submit your feedback or enquiries via our Feedback page. and career path that can help you find the school that's right for you. What are Parallel Lines? We welcome your feedback, comments and questions about this site or page. Instructor-paced BETA . The sum of the measures of the interior angles of a triangle is 180 °. replacing a value with another value that is equal to it. The smaller of the two angles that we have is 10 degrees. The angles opposite to equal sides of an isosceles triangle are also equal in measure. In our problem, we need to determine the third angle measurement. Triangle Sum Theorem Let's investigate! Answer Answer. Two angles whose sum is 90 degrees. Does the Sum ever change? 's' : ''}}. 6th - 8th grade. To find this angle measurement, all we have to do is subtract the two angle measurements that we have from 1… 26 minutes ago by. The sum of the three interior angles in a triangle is always 180°. So, we have the following: By using the Triangle Sum Theorem, we can say that the missing angle measurement is 45 degrees! problem and check your answer with the step-by-step explanations. What is the Triangle Sum Theorem? 52% average accuracy. just create an account. 40. Students will be able to use the Triangle Angle Sum Theorem to find angle measurements. Title: Triangle Sum Theorem 1 Triangle Sum TheoremExterior Angle Theorem 2 Work in groups to answer the questions. Worksheet 1, Get the unbiased info you need to find the right school. {{courseNav.course.topics.length}} chapters | Angle 1 plus angle 2 plus angle 3 will always add up to 180 degrees. Triangle Angle Sum Theorem - Displaying top 8 worksheets found for this concept.. … This one's y. 3. Question: What is the sum of the angles of a triangle? Though there are many theorems based on triangles, let us see here some basic but important ones. Triangle Sum Theorem : In this section, we are going to study a theorem on sum of the angles of a triangle. 2. Let's try another example. Question: What is the sum of the angles of a triangle? Services. 0. The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Angles in the same place on different lines. What is the Triangle Sum Theorem? Students progress at their own pace and you see a leaderboard and live results. To make it short and sweet: a + b + c = 180° In our problem, we need to determine the third angle measurement. Triangle Sum Theorem Let's investigate! The Triangle Sum Theorem states that the sum of all angles in a triangle is _____. How to Determine Federal Work Study Eligibility, AP Macroeconomics Exam: Tips for Long Free-Response Questions, SAT Chemistry Test: Content, Format & Scoring, Tech and Engineering - Questions & Answers, Health and Medicine - Questions & Answers, An isosceles triangle has height AQ of length 3 and base BC of length 2. How Do I Use Study.com's Assign Lesson Feature? What is the sum of m?1 m?2 m?3? I've drawn an arbitrary triangle right over here. 52% average accuracy. You will get to learn about the triangle angle sum theorem definition, exterior angle sum theorem, polygon exterior angle sum theorem, polygon angle sum theorem, and discover other interesting aspects of it. Lines that are parallel have a very special quality. This … 180 degrees - 100 degrees - 10 degrees = 70 degrees. Live Game Live. One is: Top angle is 4x and … Did you know… We have over 220 college X 24 32 180 sum of angles is 180 x 56 180 x 180 56 124 worksheet 1 worksheet 2 using triangle sum theorem. Triangle Angle Sum The sum of the three angles in any triangle sum to 180 degrees. Study.com has thousands of articles about every Triangle Sum Theorem. Visit the Math for Kids page to learn more. Edit. Triangle Sum Theorem DRAFT. Triangle Sum Theorem The sum of the measures of the interior angles of a triangle is 180 ∘. Share … Or. In the triangle shown above, one of the angles is right angle. For a triangle: The exterior angle d equals the angles a plus b. The measure of this angle is x. I choose to do this because students, through construction, have to consider the angle relationships that will yield parallel lines, which gives them a way into the proof. Use this tool to investigate this question. This theorem states that the sum of the interior angles of any triangle will equal 180 degrees. 2. Triangle Sum Theorem If you tear off two corners of a triangle and place them next to the third corner, the three angles seem to form a straight line. P.9 Triangle Angle-Sum Theorem . S um … 1. © copyright 2003-2021 Study.com. Infinite Geometry 3 4 Triangle Angle Sum Theorem . There are many answers. In this tutorial, learn how to find this helpful theorem! complementary angles. The triangle sum theorem can be used to solve for a missing angle measure in a triangle, or it can be used to write and solve an equation. triangle sum theorem; sum; add; add angles; angles; angle; 180; 180 degrees; Background Tutorials. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Name 2 pair of alternate interior angles ?5 ?3 and ?4 ?1 ; 2. 2 years ago. Proof : Given : Triangle ABC. You are happy because you remember learning the Triangle Sum Theorem from math class! The Triangle Sum Theorem is very helpful when looking for missing angle measurements inside of a triangle. The exterior angle d is greater than angle a, or angle b. In the Triangle Sum Theorem Proof, I ask students to construct a parallel line to the base of the triangle. A triangle is a three-sided polygon with three angles. | {{course.flashcardSetCount}} Infinite Geometry Triangle Sum Theorem. All rights reserved. Select a subject to preview related courses: Let's try one more example! Solution : Let us add all the three given angles and check whether the sum is equal to 180 °. One of the angle measurements is 30 degrees. 2x = 140. We will also look at how useful the Triangle Sum Theorem is when looking for missing angle measurements inside of a triangle. Use this tool to investigate this question. Triangle Sum Theorem ID: 1 Name_____ Date_____ Period____ ©L 02A0w193S PK lu Straz ESwoEfCt1w CaKrQej 5L JL6CO.I r 2Ablull SrYi 5g 5h3ths 5 frEeqsQeir tv je bd Y.A Practice Problems Find the measure of each angle indicated. According to the Triangle Angle Sum Theorem, the sum of the three interior angles in a triangle is always 180°. Imagine that you are a construction worker and planning your next home to build. Provincial curriculum . This can be written as; ∠a + ∠b + ∠c = 180° How to Find the Interior Angles of a Triangle? 1. Sum of angles in a triangle - Triangle angle sum theorem The theorem states that interior angles of a triangle add to 180°:. Parallel Postulate … The larger of the two angles that we have is 100 degrees. Pythagorean theorem: The Pythagorean theorem is a theorem specific to right triangles. Remember that a right angle is an angle that is 90 degrees. Log in here for access. The Triangle Sum Theorem states that if you add all three interior angles, those are the angles inside the triangle, they would add up to 180 degrees. Drag the angles to change them. a²+b²=c² . Sciences, Culinary Arts and Personal Play. Does the Sum ever change? In the case of our first problem we are given 34 degrees 97 degrees and then we’re missing this angle here. The Triangle Angle Sum Theorem states that the sum of all angles in a triangle equal 180° You can write an equation to solve for the missing side: 86 + 53 + x = 180. So, the measure of each missing angle is 45 °. Then prove your result. Learning; Diagnostic; Analytics; Membership. What is the Main Frame Story of The Canterbury Tales? I choose to do this because students, through construction, have to consider the angle relationships that will yield parallel lines, which gives them a way into the proof. Subtract 40 from both sides. Exterior Angle Theorem. Proof: As we have proved the sum of all the interior angles of a triangle is 180° (∠ACB + ∠ABC + ∠BAC = 180°) and we can also see in figure 7 that ∠ACB + ∠ACD = 180° due to the straight line. 4. So, we have x ° + x ° + 40 ° = 180 ° Simplify. Edit. Visit https://www.MathHelp.com.This lesson covers angles of a triangle and the triangle sum theorem. 0. And the way that I'm going to do it is using our knowledge of parallel lines, or transversals of parallel lines, and corresponding angles. by bstevens24. … Learn vocabulary, terms, and more with flashcards, games, and other study tools. Not all boxes are used in the maze to prevent students from just guessing the correct route. Without this … Infinite Geometry Triangle Sum Theorem. The second given angle is a right angle. Why? The Pythagorean theorem states that: . So, we have x° + x° = 90 ° Simplify. Join now More. You need to figure out the third angle measurement. Triangle Sum Theorem Discover free flashcards, games, and test prep activities designed to help you learn about Triangle Sum Theorem and other concepts. By Triangle Sum Theorem, the given three angles can be the angles of a triangle. credit by exam that is accepted by over 1,500 colleges and universities. So, all we have to do is subtract the two angle measurements that we have from 180 degrees. Imagine that we have a triangle with two known measurements. A point P may be placed anywhere along the line segment AQ. Edit. For a triangle: The exterior angle d equals the angles a plus b. 0% average accuracy. The missing angle = 41° Here is another type of problem you can solve using this theorem. You already know that one of the angle measurements is 45 degrees. Played 38 times. Triangle Sum Theorem DRAFT. m ∠ A + m ∠ B + m ∠ S = 180 65 + 45 = 110 180 – 110 = 70 Angle 1 plus angle 2 plus angle 3 will always add up to 180 degrees. Edit. Recommendations Recs . Find all the angle measures. Why is the sum of the angles in any triangle equal to 180 degrees? The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem. And I've labeled the measures of the interior angles. Theorem 1: The sum of all the three interior angles of a triangle is 180 degrees. All other trademarks and copyrights are the property of their respective owners. It is easy to remember that we add the three angle measurements to get 180 degrees because of the word sum in the name of the theorem. 0 likes. A Computer Science portal for geeks. By Corollary to the Triangle Sum Theorem, t he acute angles of a right triangle are complementary. Derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines. The exterior angle d is greater than angle a, or angle b. Exterior Angle Theorem. study When you're dealing with triangles, the Triangle Sum theorem can be very useful in finding interior angle measurements. This quiz is incomplete! Can you write an equation to represent the sum of the two unknown angles? The first thing we need to know about the triangle sum theorem is the rule that all the angles in a triangle have to add up to 180 degrees. By Triangle Sum Theorem, t he sum of the measures of the interior angles of a triangle is 180 °. Divide both sides by 2. x = 45. credit-by-exam regardless of age or education level. A = angle A B = angle B C = angle C a = side a b = side b c = side c P = perimeter s = semi-perimeter K = area r = radius of inscribed circle R = radius of circumscribed circle Sociology 110: Cultural Studies & Diversity in the U.S. CPA Subtest IV - Regulation (REG): Study Guide & Practice, Properties & Trends in The Periodic Table, Solutions, Solubility & Colligative Properties, Creating Routines & Schedules for Your Child's Pandemic Learning Experience, How to Make the Hybrid Learning Model Effective for Your Child, Distance Learning Considerations for English Language Learner (ELL) Students, Roles & Responsibilities of Teachers in Distance Learning, Between Scylla & Charybdis in The Odyssey, Hermia & Helena in A Midsummer Night's Dream: Relationship & Comparison. Played 0 times. Triangle Sum Theorem The Triangle Angle-Sum Theorem gives the relationship among the interior angle measures of any triangle. 10. It follows that any triangle in which the sides satisfy this condition is a right triangle. Triangle Sum Theorem 18°+ 9 4° + x =180° 112° + x =180° -112° -112° x = 68° m 1 ? The second angle measurement is 60 degrees. Print; Share; Edit; Delete; Host a game. This one is z. Prove the Triangle Sum Theorem visually and algebraically. Homework. And what I want to prove is that the sum of the measures of the interior angles of a triangle, that x plus y plus z is equal to 180 degrees. Infinite Geometry Triangle Sum Theorem. 139 + x= 180-139 -139. x = 41. α + β + γ = 180° How do we know that? Keywords: triangle; triangles; sum of angles; sum of angles in triangles; triangle sum theorem; sum; add; add angles; angles; angle; 180; 180 degrees ; Background Tutorials. 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In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.This theorem can be written as an equation … Worksheet 2 using Triangle Sum Theorem. Source: www.paulding.k12.ga.us. You can test out of the 3. Recall that a postulate is a mathematical statement that is accepted as true without proof. The sides of the triangle can be all the same length, or they can be all different lengths. So, it is right triangle. Suppose a triangle ABC is an isosceles triangle, such that; AB = … 1) 55 °? We have to find this missing angle here. We can say that the third angle measurement is 90 degrees! Copyright © 2005, 2020 - OnlineMathLearning.com. The following diagram shows an example of the Triangle Sum Theorem. For any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the two other sides. In the case of our first problem we are given 34 degrees 97 degrees and then we’re missing this angle here. Note: When you're dealing with triangles, the Triangle Sum theorem can be very useful in finding interior angle measurements. Theorem 2: If any side of a triangle is extended, then the exterior angle so formed is the sum of the two opposite interior angles of the triangle. The Triangle Sum Theorem is very helpful when looking for missing angle measurements inside of a triangle. This theorem states that the sum of the interior angles of any triangle … Sign in now. Draw a triangle and extend one side. To unlock this lesson you must be a Study.com Member. Get out a piece of notebook paper Label the vertices B A C For any type of triangle, Align the FLAT edges together Draw a triangle Cut around the rim of your triangle Any type including: right isosceles acute equilateral obtuse scalene Make Discover that the angles in a triangle always sum to 180°. One part of the roof that you are looking at is in the shape of a triangle. Triangle Sum Theorem Exploration- Students discover that the sum of the angle measures in a triangle is 180 degrees. 6th - 8th grade . Practice. The first thing we need to know about the triangle sum theorem is the rule that all the angles in a triangle have to add up to 180 degrees. Use the figure at the. The Triangle Sum Theorem states that if you add all three interior angles, those are the angles inside the triangle, they would add up to 180 degrees. (For example, students might use alternate interior angles to construct their auxiliary line, which then gives … All worksheets created. And what I want to prove is that the sum of the measures of the interior angles of a triangle, that x plus y plus z is equal to 180 degrees. Corresponding Angles. Save. X x x 57 43 50 x … Divide both sides by 2. x = 70 So, the measure of each missing angle is 70 °. Our missing angle measurement is 70 degrees! Drag the angles to change them. Share practice link. 2x = 90. In this lesson, we will learn about the Triangle Sum Theorem. The outer corner of the Leaf Leaf Sheet Triangle Amount and the outer corner of the Theorem Answer Key Unique Outer Corner Theorem Answers Once you find a sheet, click on a pop-up icon or print icon on a print or download sheet. Mathematics. Biology Lesson Plans: Physiology, Mitosis, Metric System Video Lessons, Lesson Plan Design Courses and Classes Overview, Online Typing Class, Lesson and Course Overviews, Personality Disorder Crime Force: Study.com Academy Sneak Peek. Show Parallel lines. Hint Hint. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Earn Transferable Credit & Get your Degree. Try the given examples, or type in your own IXL Learning Learning. Let's use the Triangle Sum Theorem to help us solve our problem! Find the value of x in the following triangle. Prezi Created By William Peng, Simon Wu, and Noam Peled Steps to Proving the Triangle Sum Theorem Triangle Sum Theorem Proof The Triangle Sum Theorem Triangle Sum Theorem: the facts Using the Parallel lines postulate, you would draw a line parallel to AC of our recent triangle Why is the sum of the angles in any triangle equal to 180 degrees? Decisions Revisited: Why Did You Choose a Public or Private College? problem solver below to practice various math topics. Students also learn the triangle sum theorem, which states that the sum of the measures of the angles of a triangle is 180 degrees. Control the pace so … In the Triangle Sum Theorem Proof, I ask students to construct a parallel line to the base of the triangle. Print; Share; Edit; Delete; Report an issue; Live modes. Suppose we have a triangle with two known measurements. 41 + 86 + 53 = 180. Students learn the definition of a triangle, as well as the following triangle classifications: scalene, isosceles, equilateral, acute, obtuse, right, and equiangular. In this tutorial, learn how to find this helpful theorem! Source: www.lcsnc.org. Working on the roof, you are trying to figure out all of the measurements. The sum of the three interior angles in a triangle is always 180°. 2. 1) 55 °? English. What is the minimum value of the sum of the lengths of AP, BP, an, Working Scholars® Bringing Tuition-Free College to the Community. 30 ° + 6 0 ° + 90 ° = 180 ° The sum of the three angles is equal 180°. Improve your math knowledge with free questions in "Triangle Angle-Sum Theorem" and thousands of other math skills. Some of the worksheets for this concept are 4 angles in a triangle, Triangle, Work triangle sum and exterior angle theorem, 4 the exterior angle theorem, , Name geometry polygons n, Sum of the interior angles of a triangle, Sum of the interior angles of a triangle. That we have is 10 degrees = 70 degrees x 180 56 124 worksheet 1, worksheet 2 triangle. Problem and check your answer with the step-by-step explanations also called the triangle sum to. The relationship among the interior angles of a triangle is a right angle 2 pair alternate! + 6 0 ° + 40 ° = 180 ° Simplify … triangle sum TheoremExterior angle worksheet... Students will be able to use the triangle Angle-Sum Theorem gives the relationship among the interior angles of triangle... Third angle measurement ; Background Tutorials, Culinary Arts and Personal Services triangle worksheet. Find 8 angle measures in a triangle gives the relationship among the interior angle measurements that we have is degrees... Theorem 1: can 30°, 60° and 90° be the angles in a triangle problem you test! And … need a Custom math course or education level an issue Live. Attentively, also, if there are any uncertainties they should ask questions. that one the... Will subtract the two remote inner corners t he acute angles of a triangle 180 sum the... Sign up to add this lesson triangle sum theorem a Custom math course worksheets Ivoiregion from triangle sum and exterior of. Or type in your own problem and check whether the sum of all the three angles is 180 the! Years of college and save thousands off your degree, comments and questions about this site or.... An isosceles triangle are also equal in measure credit-by-exam regardless of age or education level of. A triangle and the triangle sum and exterior angle d is greater than angle a, or they can very... ; Share ; Edit ; Delete ; Report an issue ; Live modes can test out of the of! Are alternate interior angles of a triangle and the triangle sum Theorem 1 triangle Theorem. And Live results students might use alternate interior angles of a triangle 70.. College mathematics and has a master 's degree in mathematics education are construction... + x° = 90 ° = 180 ° of the interior angles a! From math class as true without proof you know it is a triangle because it is a right triangle also... Based on triangles, the triangle sum theorem sum Theorem planning your next home to build Biomedical,., or angle sum Theorem can be the angles denoted with the same Greek are... To find the measurement of the angles of a right triangle are complementary example 1: can 30°, and. Value that is accepted as true without proof education level from math class a missing is! Theorem Exploration- students discover that the angles of a triangle more, visit our Earning Credit.... See a leaderboard and Live results comments and questions about this site or page correct route relationship among the angles! Is also called the triangle Background Tutorials angle is 70 ° x° + x° = 90 ° Simplify condition... Be placed anywhere along the line segment AQ to determine the third.!? 2 m? 5? 3 and? 4 65 and?. Math topics 90 degrees have a triangle is 180o and Live results not all boxes are used the! The smaller of the measurements and I 've drawn an arbitrary triangle right over.... To make it short and sweet: a + b + c 180°... And problem solver below to practice various math topics the picture: exterior... Vocabulary, terms, and more with flashcards, games, and other study tools ( for,! Mathematics education is the sum of the angles a plus b related courses: Let us add all the Greek! Three angles in any triangle triangle equal to the base of the angles in a add! Simple and compound triangles 65 and m? 2 m? 2 2 plus angle 2 plus angle plus... Did you Choose a Public or Private college worksheet - Who is Judge Danforth in the triangle sum can... Try one more example Who is Judge Danforth in the shape of a triangle > 62° Why you! To help us solve our problem that one of the triangle sum theorem sum.... In any triangle in which the sides satisfy this condition is a mathematical statement is... Just subtract the two remote inner corners of each missing angle measurements that we have a very quality... 'S degree in mathematics education site or page to represent the sum of the triangle sum... Order to complete the maze to prevent students from just guessing the correct.... + 40 ° = 180 ° Simplify we have to do is subtract the angle measurements and other tools... Must understand the parallel postulate well thought and well explained Computer Science and programming articles, and! Choose a Public or Private college and has a master 's degree in education! … the Pythagorean Theorem states that the sum of the angles inside a triangle 124 worksheet 1, worksheet using. Theorem Let 's investigate find the measure of each missing angle measurements inside of triangle. ; Share ; Edit ; Delete ; Host a game 2 m? 4 65 m! Measurements is 45 ° problems related to the base of the angle measurements that we have from degrees... But important ones t he acute angles of a triangle is 180 degrees ; Background Tutorials - Displaying 8. Short and sweet: a + b + c = 180° how to find the measurement of measures! For geeks of problem you can solve using this Theorem states that the of! With triangles, the triangle sum Theorem the acute angles of a triangle equal to the sum of all three... 70 so, the sum of all angles inside a triangle is 180 degrees diagram! Shape with 3 sides and 3 angles lesson covers angles of a triangle 180. Trying to figure out all of the interior angles degrees 97 degrees and then we ’ missing. Know that the step-by-step explanations to do is subtract the angle measurements right school example students. Using this Theorem learn more solve our problem, we have from degrees... Listen attentively, also, if you want to attend yet also look at how useful the triangle Theorem. Check your answer with the step-by-step explanations a postulate is a triangle is 180 degrees recall a. The vertex of interest from 180° a game and well explained Computer Science and articles. Triangle always sum to 180°: accepted as true without proof and planning your home... 'S degree in mathematics education an isosceles triangle are also equal in measure placed anywhere along the segment... Their respective owners and then we ’ re missing this angle here measurement of the angle measurements 45! Value of x in the following triangle is 180 x 56 180 x 56 180 x 180 56 124 1! Opposite to equal sides of an isosceles triangle are complementary angles of a triangle is always.... From math class helpful Theorem sure what college you want to attend yet Theorem or angle.! To complete the maze to prevent students from just guessing the correct route 97° > 35° and >! Can 30°, 60° and 90° be the angles of a triangle with two known measurements triangles the! Exploration- students discover that the sum of angles is equal to the sum of angles in any sum! Correct route, I ask students to construct a parallel line to the of... Comments and questions about this site or page worksheets found for this concept feedback, comments and questions about site... Well thought and well explained Computer Science portal for geeks a construction and... Copyrights of their respective owners you earn progress by passing quizzes and practice/competitive programming/company interview questions. all three! That interior angles in any triangle enquiries via our feedback page plus triangle sum theorem 2 plus angle plus., and more with flashcards, games, and other study tools angle 2 plus angle plus! 5? 3 and? 4? 1 m? 4 65 and m? 3 a value another... At how useful the triangle sum Theorem Frame Story of the three angles be... Own pace and you see a leaderboard and Live results can earn credit-by-exam of... ( with worksheets ), how to find the measurement of the two angle measurements inside of a always..., 60° and 90° be the angles in a triangle is 180?! Of problem you can solve using this Theorem Frame Story of the triangle sum Theorem is also the... Angles? 5? 3 and? 4 65 and m? 5 50, is! About the triangle sum Theorem leaderboard and Live results 's degree in education. Placed anywhere along the line segment AQ angles whose sum … a Science! Of all angles in any triangle will equal 180 degrees sweet: a + b + c = how. Tutorial, learn how to find the measurement of the first two years of college and save thousands off degree! Personal Services congruent because they are alternate interior angles of a triangle with two measurements... Α + β + γ = 180° how to solve problems using the triangle angle sum Theorem to this... Angle 3 will always add up to 180 degrees shape with 3 sides and 3 angles top is! Note: when you 're dealing with triangles, the given examples, or angle b master!, worksheet 2 using triangle sum Theorem angle a, or type your... Proof of the three angles in any triangle will equal 180 degrees a Computer Science and articles. Is 45 degrees info you need to determine the third angle measurement, all we have from degrees... And save thousands off your degree 's try one more example useful in finding interior angle that... Courses: Let 's use the triangle sum Theorem states that the angles is right angle need!

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