^{Complete the missing parts of the paragraph proof.}^{Complete the missing parts of the paragraph proof.Complete the missing parts of the paragraph proof. Proof: We are given a2 + b2 = c2 for ABC and right DEF constructed with legs a and b and hypotenuse n. Since DEF is a right triangle, we know that a2 + b2 = n2 because of the .What are the missing parts that correctly complete the proof? Given: Point P is on the perpendicular bisector of segment A B. Prove: Point P is equidistant from the endpoints of segment A B. Art: A horizontal line segment A B with X as the midpoint is drawn. A vertical line X P is drawn. P is above the horizontal line.Complete the missing parts of the paragraph proof. draw a perpendicular from p to ab. label the intersection c. we are given that pa = pb, so pa ≅ pb by the definition of . we know that angles pca and pcb are right angles by the definition of . pc ≅ pc by the . so, triangle acp is congruent to triangle bcp by hl, and ac ≅ bc by . since pc is …What are the missing parts that correctly complete the proof? Given: Point A is on the perpendicular bisector of segment P Q. Prove: Point A is equidistant from the endpoints of segment P Q. Image: A horizontal line segment P Q. A midpoint is drawn on segment P Q labeled as X. A vertical line X A is drawn. A is above the horizontal line.A thesis statement: tells the reader how you will interpret the significance of the subject matter under discussion. is a road map for the paper; in other words, it tells the reader what to expect from the rest of the paper. directly answers the question asked of you. A thesis is an interpretation of a question or subject, not the subject itself.Prove the following proof: If A, B, and C are noncollinear, A-D-E, and B-D-C, then B, D, and E are noncollinear. What is the difference between a theorem and a proof? How do you write a paragraph proof? How to write a paragraph proof; Complete the following proof (this is a 2-column proof): Given: 1 - 3(x + 1) = -2 Prove: x = 0ASA; Corresponding parts of S A are . 4. Supply the missing reasons to complete the proof. 1 point) Given: ABE ED ZA ZE D Prove: BC EDC B E Statements Reasons 1. ABED,ZA ZE 1. Given 2. ZACBZECD 2. Vertical angles are congruent 3. AACB AECD 4.BCE DC...Email is an essential part of our lives, but it can quickly become overwhelming and disorganized. To make sure you stay on top of your emails and don’t miss any important messages, it’s important to keep your email box organized and streaml...Note: Before completing this tutorial, you must first complete Paragraph Basics: Topic Sentences and Unity. Introduction to Coherence Even when an essay has a clear thesis, and each paragraph in the body has an effective topic ... In my experience, the worst part of attending college is living in the dorms. For one thing, privacy is a very ...Diana and Joby wrote the following proofs to prove that vertical angles are congruent. Who is correct?Diana's Proof StatementJustification∠1 + ∠2 = 180°Definition of Supplementary Angles∠1 + ∠4 = 180°Definition of Supplementary Angles∠1 + ∠2 = ∠1 + ∠4Transitive Property of Equality Joby's Proof StatementJustification∠2 = ∠4Vertical angles are …Correct answers: 1 question: Given: ∠cba ≅ ∠fba; ∠cab ≅ ∠fab prove: δbca δbfa complete the missing parts of the paragraph proof. proof: we know that angle cba is congruent to angle fba and that angle cab is congruent to angle fab because . we see that is congruent to by the reflexive property of congruence. therefore, we can conclude that triangle bca is congruent to triangle bfa ...Find answers on: Complete the missing parts of the paragraph proof. Proof: We are given a2 + b2 = c2 for ABC and right DEF constructed with legs a and b and …Complete the missing parts of the paragraph proof. Proof: We are given a2 + b2 = c2 for ABC and right DEF constructed with legs a and b and hypotenuse n. Since DEF is a right triangle, we kno | StudyDaddy.com.Math Geometry Complementary and Supplementary Angles Warm-up and Instruction. 5.0 (12 reviews) 3 lines are shown. A line with points B, A, E intersects a line with points C, A, F at point A. A line extends from point A to point D in between angle E A F. Which are linear pairs? Click the card to flip 👆 a. BAC and CAE c. CAE and FAEProve: ΔDFB ≅ ΔDEC Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles. Complete the missing parts of the paragraph proof. We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because .Prove: The sum of the measures of the interior angles is 180(n – 2)°. Complete the missing parts of the paragraph proof. We are given an n-gon, which has n sides and n vertices. Answers: 1. If we choose one of the vertices, we can draw n-3 diagonals. 2. These diagonals form n-2 triangles. 3.The parts in the proof is completed as follows Slope of line DE = (c - c) / ... Complete the missing parts of the paragraph proof. loading. search. loading. rotate. loading. See answer. loading. plus. Add answer +5 pts. Ask AI. ... In the proof the slope of the line DE and line BC is calculated as the values of zero was gotten.Fill in the missing parts of the two-column proof to prove that in diameter bisects a chord and an arc with the same endpoints if and or perpendicular to the chord. Given: ES is a diameter of OU and perpendicular to chord GN at point I. Prove: 1. ... Complete the paragraph proof using the dropdown menu options. First drop down box: All points ...Answers: 2 on a question: What are the missing parts that correctly complete the proof? given: point a is on the perpendicular bisector of segment p q. prove: point a is equidistant from the endpoints of segment p q. image: a horizontal line segment p q. a midpoint is drawn on segment p q labeled as x. a vertical line x a is drawn. a is above the horizontal line. the angle a x q is labeled a ...Complete the missing parts of the paragraph proof. Proof: We are given a2 + b2 = c2 for ABC and right DEF constructed with legs a and b and hypotenuse n. Since DEF is a right triangle, we know that a2 + b2 = n2 because of the . By substitution, c2 = n2 Using the square root property and the principle root, we can take the square root of both ...a) Paragraph proof . b) Two-column proof . c) A flow chart proof . The two-column proof is the method we use to present a logical argument using a table with two columns and is the focus of this ...A refutation paragraph, found in argument essays, should start by introducing an opposing argument and acknowledging important points of the opposition. A writer’s refutation paragraph should accept that certain parts of the opposition are ...Write a Paragraph Proof Given: Prove: ACD is a plane. Proof: and must intersect at C because if two lines intersect, then their intersection is exactly one point. Point A is on and point D is on . Points A, C, and D are not collinear. Therefore, ACD is a plane as it contains three points not on the same line. Take NoteComplete the missing parts of the paragraph proof. Proof: We know that segment QS bisects angle TQR because . By the definition of angle bisector, angle TQS is congruent to angle . We see that segment QS is congruent to segment SQ by . Therefore, we can conclude that triangles QRS and QTS are congruent by .If triangle ABC is isosceles, with AB = AC, then the medians drawn from vertices B and C must have the same length. Write a two-column proof of this result. Complete the following proof of Theorem 26 by giving the reasons. The proof is written in paragraph form. The diagonals of a parallelogram bisect each other.Get customized homework assistance on any assignment you have by posting your questions.Complete the paragraph proof. Given: ∠1 and ∠2 are supplementary, and ∠2 and ∠3 are supplementary. Prove: ∠1 ≅ ∠3 Angle 1 is acute, angle 2 is obtuse, and angle three is acute. By definition of supplementary angles, m∠1 + m∠2 = _____ (a) and m∠2 + m∠3 = _____ (b). Then, m∠1 + m∠2 = m∠2 + m∠3 by the __________ (c). Subtract m∠2 from each side. You get m∠1 ...Unit 4: Triangles (Part 1) Geometry SMART Packet Triangle Proofs (SSS, SAS, ASA, AAS) Student: Date: Period: Standards G.G.27 Write a proof arguing from a given hypothesis to a given conclusion. G.G.28 Determine the congruence of two triangles by using one of the five congruence ... Complete the partial proof below for the accompanying diagram ...Complete the paragraph proof. we are given ab ≅ ae and bc ≅ de. this means abe is an isosceles triangle. base angles in an isosceles triangle are congruent based on the isosceles triangle theorem, so ∠abe ≅ ∠aeb. we can then determine abc ≅ aed by . because of cpctc, segment ac is congruent to segment . triangle acd is an isosceles ...PROVING A THEOREMVrite a paragraph proof of the Polygon Exterior Angles Theorem (Theorem 7.2). (Hint: In a convex n-gon, the sum of the measures of an interior angle and an adjacent exterior angle at any vertex is 180 )Apr 30, 2018 · answer answered Complete the missing parts of the paragraph proof. Proof: We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. One angle is 69 degrees and the other is 31 degrees. 2 right angles are shown. 2 angles are shown. One angle is 56 degrees and the other is 34 degrees. c. (The last pair. They're labeled 56 and 34 degrees) 3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to point D in ...This is because paragraphs show a reader where the subdivisions of an essay begin and end, and thus help the reader see the organization of the essay and grasp its main points. Paragraphs can contain many different kinds of information. A paragraph could contain a series of brief examples or a single long illustration of a general point.paragraph: [noun] a subdivision of a written composition that consists of one or more sentences, deals with one point or gives the words of one speaker, and begins on a new usually indented line. a short composition or note that is complete in one paragraph.Answers: 2 on a question: Complete the missing parts of the paragraph proof. Proof: We know that segment QS bisects angle TQR because . By the definition of angle bisector, angle TQS is congruent to angle . We see that segment QS is congruent to segment SQ by . Therefore, we can conclude that triangles QRS and QTS are congruent …Identifying Parts of a Paragraph. An effective paragraph contains three main parts: a topic sentence, the body, and the concluding sentence. A topic sentence is often the first sentence of a paragraph. This chapter has already discussed its purpose—to express a main idea combined with the writer's attitude about the subject.So Question 44 is a paragraph proof. So just gonna kind of lory through this paragraph. Proof together. Um, they give you parallelogram a B c d. And they ask you in the proof to prove that ... PROVING A THEOREM Copy and complete the paragraph proof for one part of the … 02:43. This figure is like the one that Euclid used to prove that the ...To get this, you add all of the numbers together and divide the result by the amount of numbers. Start by adding all of the numbers together to get 1,649. Now, divide that by 10, since there are 10 numbers. This gives you a mean of 164.9. Follow the process of completing the square to solve x2 - 10x + 8 = 0.Most paragraphs we see are part of a multi-paragraph document: newspaper and magazine articles, books, business letters and inter-office memorandum, "how-to" documents, and other informational documents. Usually, there is an organization of the paragraphs in a specific way.RIGHT In a paragraph proof, statements and their justifications are written in sentences in a logical order. A two-column proof consists of a list statements and the reasons the statements are true. A paragraph proof is a two-column proof in sentence form. A flowchart proof includes a logical series of statements in boxes with connecting arrows.Question: Exercise 2.7.4 -Complete the missing parts of Step 3 of the proof of Theorem 2.7.1. That is, prove that k is surjective Step 3 - If x < y, then f(x) < f (y) Theorem 2.7.1 - Uniquness of Real Numbe - Let R1and R2 be ordered fields that satisfy the Least Upper Bound Property.Then there is a function : R! → R2 that is bijective and that satisfies theSince QW XR Q W X R is a square. ∴ P Q2 +P R2 = QR×QR = QR2 ∴ P Q 2 + P R 2 = Q R × Q R = Q R 2. Hence Proved. 2. Two-column proof. In this form, we write statements and reasons in the column. For example, let us prove that If AX A X and BY B Y bisects each other then AM B A M B ≅ ≅ XM Y X M Y. Proof:Like other forms of writing, paragraphs follow a standard three-part structure with a beginning, middle, and end. These parts are the topic sentence, development and support, and conclusion. Topic sentences, also known as “paragraph leaders,” introduce the main idea that the paragraph is about.This is a paragraph proof of the Polygon Interior Angle Sum Theorem which says that the sum of the interior angles of a convex octagon sum up to (n-2)180 degrees. I don't know if a picture is allowed but I will at least draw the octagon and label the vertices although I won't refer to the picture in the proof specifically.. Complete the missing parts of the paragraph proof. Proof: We are given a2 + b2 = c2 for ABC and right DEF constructed with legs a and b and hypotenuse n. Since DEF is a right triangle, we know that a2 + b2 = n2 because of the .Geometry // Writing a Two-Column Proof. 3.0 (3 reviews) Given: angle ABC congruent to angle DEF and GHI congruent to DEF. Prove: length ABC = length GHI. Click the card to flip 👆. ABC congruent to DEF reason given. GHI congruent to DEF reason given. DEF congruent to GHI reason symmetric property. ABC congruent to GHI reason transitive property.PROVING A THEOREMVrite a paragraph proof of the Polygon Exterior Angles Theorem (Theorem 7.2). (Hint: In a convex n-gon, the sum of the measures of an interior angle and an adjacent exterior angle at any vertex is 180 )Jun 15, 2022 · Complete the missing parts of the paragraph proof. By the , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is degrees. Diana and Joby wrote the following proofs to prove that vertical angles are congruent. Who is correct?Diana's Proof StatementJustification∠1 + ∠2 = 180°Definition of Supplementary Angles∠1 + ∠4 = 180°Definition of Supplementary Angles∠1 + ∠2 = ∠1 + ∠4Transitive Property of Equality Joby's Proof StatementJustification∠2 = ∠4Vertical angles are …These are the essential parts in paragraphs. 3 Tips for Finding the Topic Look for the subject of the first sentence. Subjects are nouns (persons, places, things, or ideas). Look for a word or phrase that is frequently repeated or referred to. Finally, ask: What do ALL the sentences in the paragraph deal with?This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer. Question: Exercise 2.7.4. [Used in Theorem 2.7.1.] Complete the missing part of Step 3 of the proof of Theorem 2.7.1. That is, prove that k is surjective. Exercise 2.7.4.Complete the sentences using no more than two words and/or a number. ... Your task is to provide the missing words or numbers. The word "the" is not missing and therefore cannot be part of the answer. Reply. Abiodun Mohammed says June 7, 2019 at . 1 Pyrotechnician 2 shell 3 Chinese 4 bang 5 13th century 6 Rocket 7 Roman Candles 8 Magnesium.95. We have an expert-written solution to this problem! Given: a and b are parallel and c is a transversal. Prove: ∠2 ≅ ∠7. Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent.We know that lines a and b are parallel and that line c is a transversal because that is given. We can tell ...Now let's go the other way. Let's say that we have some type of a quadrilateral, and we know that the opposite sides are congruent. Can we prove to ourselves that this is a parallelogram? Well, it's kind of the same proof in reverse. So let's draw a diagonal here, since we know a lot about triangles. So let me draw. There we go. That's the ...reflexive. A two-column proof. b. contains a table with a logical series of statements and reasons that reach a conclusion. A paragraph proof. d. contains a set of sentence explaining the steps needed to reach a conclusion. Proof: We are given that m<AEB = 45° and <AEC is a right angle. The measure of <AEC is 90° by the definition of a right ...Complete the paragraph proof. we are given ab ≅ ae and bc ≅ de. this means abe is an isosceles triangle. base angles in an isosceles triangle are congruent based on the isosceles triangle theorem, so ∠abe ≅ ∠aeb. we can then determine abc ≅ aed by . because of cpctc, segment ac is congruent to segment . triangle acd is an isosceles triangle based on the definition of isosceles ...Jan 17, 2023 · The parts in the proof is completed as follows Slope of line DE = (c - c) / (a + b - b) = 0 / a = 0 Slope of line BC = (0 - 0) / (2a - 0) = 0 / 2a = 0 Therefor… Complete the missing parts of the paragraph proof. - brainly.com 200. A proof tactic is. The small-scale maneuvers that help to complete the proof (rules of inference) 300. Rules of inference may be used in these conditions. When the requirements are met on previous lines. 300. Choose the answer that completes the missing part of the proof. 1.Since QW XR Q W X R is a square. ∴ P Q2 +P R2 = QR×QR = QR2 ∴ P Q 2 + P R 2 = Q R × Q R = Q R 2. Hence Proved. 2. Two-column proof. In this form, we write statements and reasons in the column. For example, let us prove that If AX A X and BY B Y bisects each other then AM B A M B ≅ ≅ XM Y X M Y. Proof:Given: 1 and 2 are complements, 2 and 3 are complements, and m1 = 35°. Prove: m3 = 35° Complete the missing parts of the paragraph proof. By the , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is degreeIn a paragraph proof, statements and their justifications are written in sentences in a logical order. A two-column proof consists of a list statements and the reasons the statements are true. A paragraph proof is a two-column proof in sentence form. A flowchart proof includes a logical series of statements in boxes with connecting arrows.To solve for the missing steps, let's rewrite first the problem. Given: In a plane, line m is perpendicular to line t or m t line n is perpendicular to line t or n t Required: Prove that line m and n are parallel lines Solution: We know that line t is the transversal of the lines m and n. With reference to the figure above,12. write paragraph proof to prove that each conditional is 13. 1. Directions: Fill in the missing statements to complete the proof using Paragraph Form, Two Column Proof, and Flow-Chart. Given: 4(x - 3) = 8, prove that x = 5.nonsense=report 14. refer to the diagram shown AR=CR and DR=BR. Write a paragraph proof to show that AR + DR = BR. 15.Okay, so it is given that p Q. R s is a parallelogram, the diagonals of a parallelogram by set each other. So this is from your, um, 6.3 point five. So P t is gonna be congruent to t r by the reflexive property of Pringle Ruins Q t is gonna be congruent to will reflects. I mean, it's equal to itself. So Q t just gonna be concurrent to q t. Okay, now it is given that P R is part ridiculous to ...paragraph proof Given: ELVHFWV Prove: 62/87,21 Proof: We are given K M , DQG ELVHFWV KLM . Since ELVHFWV KLM , we know KLJ MLJ . So, E\WKH Angle -Angle -Side Congruence Theorem. ... parts of congruent triangles are congruent. Given: F J, Prove: 62/87,21 Proof: F J and EHFDXVHLWLVJLYHQ FHG JGH because they are …There are many reasons individuals rent instead of buying a home. But they may be missing out on acquiring a valuable asset. I definitely believe in the merits of the “sharing economy.” I'm a fan and consumer of Uber and other car-sharing a...Given: QS bisects ∠TQR; TQ ≅ RQ. Prove: ΔQRS ≅ ΔQTS Triangles Q T S and Q R S are connected at side Q S. Line Q S bisects angle T Q R. The lengths of sides Q T and Q R are congruent. Complete the missing parts of the paragraph proof. Proof: We know that segment QS bisects angle TQR because .Complete the missing parts of the paragraph proof. proof: to prove that de and bc are parallel, we need to show that they have the same slope. slope of de = startfraction v 2 minus v 1 over x 2 minus x 1 endfraction = startfraction c minus c over a b minus b endfraction = = slope of bc = therefore, because , de ∥ bc.A two-column proof is one common way to organize a proof in geometry. Two-column proofs always have two columns: one for statements and one for reasons. The best way to understand two-column proofs is to read through examples. When writing your own two-column proof, keep these things in mind: Number each step. Start with the given information.Click here 👆 to get an answer to your question ️ Complete the missing parts of the paragraph proof.Because we've shown that if x is equal to y, there's no way for l and m to be two different lines and for them not to be parallel. And so we have proven our statement. So now we go in both ways. If lines are parallel, corresponding angles are equal. If corresponding angles are equal, then the lines are parallel. 7.As part of this transition, the DUNS Number has been removed from SAM.gov. Entity registration, searching, and data entry in SAM.gov now require use of the new Unique Entity ID. ... New entities can get their Unique Entity ID at SAM.gov and, if required, complete an entity registration. I manage an entity. What do I need to do? For more ...Match the reasons with the statements in the proof to prove that BC = EF, given that triangles ABC and DEF are right triangles by definition, AB = DE, and A = D. Given: ABC and DEF are right triangles AB = DE A = D Prove: BC = EF 1. ABC and DEF are right triangles AB = DE A = D CPCTE (Corresponding Parts of Congruent Triangles are Equal) 2.Prove: ΔQRS ≅ ΔQTS Triangles Q T S and Q R S are connected at side Q S. Line Q S bisects angle T Q R. The lengths of sides Q T and Q R are congruent. ... Complete the missing parts of the paragraph proof. Proof: We know that segment QS bisects angle TQR because . By the definition of angle bisector, angle TQS is congruent …Read a column proof and write a paragraph proof Directions: Use the given two column proof to write a paragraph proof of theorem that's states if two congruent angles are supplementary, then each angle is a right angle. 3. Given: ∠1 and ∠2 are supplementary. ∠1 ≅∠2. Prove: ∠1 and ∠2 are right angles. Statements ReasonsTo complete the paragraph, a writer must support the topic sentence with additional information and summarize the main point with a concluding sentence. This section identifies the three major structural parts of a paragraph and covers how to develop a paragraph using transitional words and phrases. Identifying Parts of a ParagraphGiven: C is the midpoint of BD. Prove: ACB is congruent to ACD. definition of midpoint. angle BCA is congruent to angle DCA. Tamir is working to prove the triangles congruent using SAS. After stating the given information, he states that TQ is congruent to QS by the definition of segment bisector. Now he wants to state that RQT is congruent to RQS.Given: ∠CBA ≅ ∠FBA; ∠CAB ≅ ∠FAB Prove: ΔBCA ΔBFA Complete the missing parts of the paragraph proof. Proof: We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because . We see that is congruent to by the reflexive property of congruence.Correct answers: 1 question: Complete the missing parts of the paragraph proof. Proof: We are given a ^ 2 + b ^ 2 = c ^ 2 triangle ABC and right triangle DEF constructed with legs a and band hypotenuse n. Since triangle DEF is a right triangle, we know that a ^ 2 + b ^ 2 = n ^ 2 * b * e because of the substitution c ^ 2 = n ^ 2 Using the …Solution for Fill in the missing parts of the following code required to make the second paragraph in the body change its content to "SUR university". ... Complete the Python program below to extract and display all the image links from the URL below. from urllib.request import urlopenfrom bs4 import BeautifulSoupimport re #html = urlopen ...Correct answers: 2 question: Complete the missing parts of the paragraph proof. Proof: We know that segment QS bisects angle TQR because it is given . By the definition of angle bisector, angle TQS is congruent to angle . We see that segment QS is congruent to segment SQ by . Therefore, we can conclude that triangles QRS and QTS are congruent by .One angle is 69 degrees and the other is 31 degrees. 2 right angles are shown. 2 angles are shown. One angle is 56 degrees and the other is 34 degrees. c. (The last pair. They're labeled 56 and 34 degrees) 3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to point D in ...The complete question is: Given: l || m; ∠1 ∠3 Prove: p || q Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property.Complete the missing parts of the paragraph proof. Proof: We know that segment QS bisects angle TQR because . By the definition of angle bisector, angle TQS is congruent to angle . We see that segment QS is congruent to segment SQ by . Therefore, we can conclude that triangles QRS and QTS are congruent by .Given: Angle1 and Angle2 are complements, Angle2 and Angle3 are complements, and mAngle1 = 35°. Prove: mAngle3 = 35° 4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right. Complete the missing parts of the paragraph proof. By the , we know that angle 1 is congruent to angle 3.Part 1) Vertical angles. Part 2) Corresponding angles. Part 3) Transitive property. ... Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is given. We can tell that angles 2 and 5 are congruent ...Click here 👆 to get an answer to your question ️ Given: angle1 and angle2 are supplements, and angle3 and angle2 are supplements. prove: angle1 is-congruent-…Given: a convex n-gon Prove: The sum of the measures of the exterior angles is 360°. Complete the missing parts of the paragraph proof. For a convex n …The missing statements parts of the paragraph are as follows; If we choose one of the vertices, we can draw n-3 diagonals.. These diagonals form n-2 triangles. The sum of the interior angle measures of a triangle is 180 degrees.. n – 2 triangles would have an interior angle measure sum of 180 degrees.. 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