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23 Jan 2021

(vi) 30° is one-half of its complement. If two congruent angles form a linear pair, then they are both right angles. Obtuse Angle. Can two acute angles form a pair of supplementary angles? 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. A linear pair is a pair of angles that are adjacent and form a line, 180°. Can an acute angle be adjacent to an obtuse angle? The two opposite pairs of angles formed are called vertically opposed angles where two lines parallel each other. (iii) Two obtuse angles can form a linear pair. A. right angles B. acute angles C. obtuse angles D. complementary angles You may need to download version 2.0 now from the Chrome Web Store. Linear Pair two supplementary, adjacent angles. Math. Vertical Angles Theorem: If two angles are vertical angles, then they are congruent. The sum of the measures of the angles in a linear pair is (a) 90° (b) 180° Name a pair of adjacent angles. Name a pair of complementary angles. Include a picture in your explanation. (ii) Two acute angles can form a linear pair. • Explain your reasoning. (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. Can two obtuse angles be adjacent angles? (vii) If two lines are cut by a transversal, How can we use special angle pair definitions to solve for missing angles? Which of the following pairs of angles form a linear pair? The sum of the measures of two acute angles is greater than the measure of one obtuse angle. Name a linear pair. (v) Can two obtuse angles be adjacent? Question 8. sum of both the angles is equals to 180, thus forming a straight line and one common side. Can two acute angles form a pair of supplementary angles? Properties of Straight Angle Pair . For #1-6, use the figure at the right. parallel lines. 12. Two angles whose measures sum to 180 degrees. as sum of linear pair is 180°, and obtuse angle 180°>90° that's why it can't. (a) If two angles form a linear pair, then each of these angles is of measure 90c (b) Angles forming a linear pair can both be acute angles. Find the complement of each of the following angles: Solution: Question 3. Answer. Vertical angles are a pair of nonadjacent angles, ∠1 and ∠2, formed by two intersecting lines. So, b must be an acute angle. Question 6. The vertical angle pairs are the non-adjacent angles. Solution: Two supplementary angles in the ratio 2 : 7 and sum is 180° Question 8. (v) Pair of vertically opposite angles are always supplementary. asked Jun 2, 2020 in Lines and Angles by Subnam01 ( 52.0k points) lines and angles Question 85. (iv) Two adjacent angles always form a linear pair. If two lines intersect at a point, then the vertically opposite angles are always . Name two acute vertical angles. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. Yes Are ∠1, ∠2 a linear pair? A. right angles B. acute angles C. obtuse angles D. complementary angles (v) Pair of vertically opposite angles are always supplementary. Give reason in support of your answer. Give reason in support of your answer. If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles … (a) Two acute angles can form a linear pair. Name two acute vertical angles. https://www.answers.com/Q/Can_two_obtuse_angles_form_a_linear_pair One acute and one obtuse angle can form a linear pair. Answer. So, (a + b) = 180°. The sum of the measures of the angles in a linear pair is 180. Their interiors don't overlap. (iv) Two adjacent angles always form a linear pair. Name two obtuse vertical angles. (i) Two obtuse angles can be supplementary. 6. 5.2.4 Linear Pair A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. Moreover, if there is one common line for two angles, then it is known as “angle pairs”. Name two obtuse vertical angles. A. one angle is acute and the other angle is obtuse B. they are both right angles C. they are both acute angles D. they are both obtuse angles Please select the best answer from the choices provided. ABF, CBD 5. Find their measures. The space between two intersecting lines. Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. No: Two angles are a linear pair, if and only if:!) • What are a right angle, acute angle, and obtuse angle? Draw and label the diagram. Non-Common arms form a Straight angle. Statement C is true. Linear Pair Postulate: If two angles form a linear pair, then they are supplementary. (v) Pair of vertically opposite angles are always supplementary. Midpoint – divides a segment in half Obtuse angle – an angle whose measure is between 90° and 180° Right angle – an angle whose measure is 90° Segment bisector – intersects a segment at its midpoint. (Why?) Answer: (c) Two right angles can form a linear pair Please enable Cookies and reload the page. Name two acute adjacent angles. ... if two angles are supplementary then they form a linear pair. Two angles forming a linear pair are . Name an angle supplementary to . Two obtuse angles are complementary. 10. (iii) Two obtuse angles can form a linear pair. Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles … (iii) Two obtuse angles can form a linear pair. Special Pairs of Angles . 14. Solution: No, two acute angles cannot form a pair of supplementary angles. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. Can two acute angles form a linear pair? Question 7. Name a pair of adjacent angles. Name a linear pair. A Linear Pair Forms A Straight Angle Which Contains 180º, So You Have 2 Angles Whose Measures Add To 180, Which Means They Are Supplementary. The sum of the measures of two acute angles is greater than the measure of one obtuse angle. (vi) Can an acute angle be adjacent to an obtuse angle? (c) If one of the angles is right, then other angle of a linear pair is also right. So, x + 65 o = 180 o. x = 180 o – 65 o. x = 115 o (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. NCERT Solutions for class 7 maths chapter 5 lines and angles topic 5.2.4 . The pairs of angles are nothing but the two angles. (vi) 30° is one-half of its complement. sometimes. never. 6. One acute and one obtuse angle can be supplementary. Can an acute angle be adjacent to an obtuse angle? Solution: No, two acute angles cannot form a pair of supplementary angles. (vi) 30° is one-half of its complement. (iv) Two adjacent angles always form a linear pair. 4. sum of both the angles is equals to 180, thus forming a straight line and one common side. more A line that splits an angle into two equal angles . (d) Bisectors of the adjacent angles forming a linear pair form a right angle. Answer/Explanation. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. How do I name an angle? If two angles form a linear pair, then _____. What is bisector of an angle? Answer: true. Among two supplementary angles, the measure of the longer angle is 44° more than the measure of the smaller angle. Name a linear pair. For Exercises 4 and 5, use the figure at the right and a protractor. Sum of linear pair … Can two adjacent angles be complementary? ... obtuse angle. they are supplementary. If two congruent angles form a linear pair, then they are _____. Two angles whose measures sum to 180 degrees. Name an angle complementary to . 3. AhanaMahapatraAhanaMahapatra. Name two obtuse adjacent angles. Therefore, 0° < b < 90°. as sum of linear pair is 180°, and obtuse angle 180°>90° that's why it can't. Performance & security by Cloudflare, Please complete the security check to access. (a) Two acute angles can form a linear pair. Answer By Toppr. Page 2 of 4 5. Observe the following diagram of a Linear Pair ∠ x and ∠ y are two adjacent angles because: if two angles are complementary then they form a right angle. (b) If one of the angles is obtuse, then other angle of a linear pair is acute. Solution: Question 2. (vi) 30° is one-half of its complement. (vi) 30° is one-half of its complement. Answer. The measure of one angle is 8 times the measure of the other angle. The measure of one angle is 15 less than half the measurement of its supplement. If two congruent angles form a linear pair, then they are _____. (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair 5.3 PAIRS OF LINES 5.3.1 Intersecting Lines LINES AND ANGLES In the Fig 5.22, p is a transversal to the lines l and m. sometimes. Another way to prevent getting this page in the future is to use Privacy Pass. You can put this solution on YOUR website! Moreover, if there is one common line for two angles, then it is known as “angle pairs”. If Two Angles Form A Linear Pair, The Angles Are Supplementary. Answer: true. Angle ABC and angel CBD form a linear line pair and have equal measures. Question 14. i) When the sum of two angles is \(90^{\circ}\), then the pair forms a complementary angle. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. 60 120 Vertical Angles When two lines intersect, they form two pairs of vertical angles. Angle ABC and angel CBD form a linear line pair and have equal measures. (Why?) A Linear Pair Forms A Straight Angle Which Contains 180º, So You Have 2 Angles Whose Measures Add To 180, Which Means They Are Supplementary. an angle is said to be obtuse if it measures between 90 and 180 degrees, exclusive. A linear pair is two adjacent angles, ∠3 and ∠4, formed by opposite rays. What is an angle? sometimes. If two angles form a linear pair, one of the two angles is an acute angle an the other is an obtuse angle. (ii) Two acute angles can form a linear pair. The figure shows the design on an outdoor fence. If the supplement of an angle is 65 o, then find its complement. But the acute angles have their maximum value of thus their sum cannot be . NEW! (v) Pair of vertically opposite angles are always supplementary. Name a linear pair. (a) Two acute angles can form a linear pair. always. Are ∠1, ∠2 a linear pair? Your IP: 5.187.54.112 Observe the following diagram of a Linear Pair ∠ x and ∠ y are two adjacent angles because: Two angles forming a linear pair are supplementary; If two adjacent angles are supplementary, they form a linear pair; If two lines intersect at a point, then the vertically opposite angles are always equal; If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are obtuse angles. Two angles form a linear pair. (i) Fig 5.11 (ii) Right Angle: An Angle that measures: more Acute Angle: An Angle that measures less than _____ degrees, but than _____ degrees. Question 773708: Angle 1 and angle 2 form a linear pair.Find the measure of each if the measure of the obtuse is four times the measure of the acute angle. 3. Answer: 2. Linear Pair= A Pairof Angles that forms a Line. If two adjacent angles are supplementary, they form a . the acute angles in a right triangle are complementary, the exterior angle of a triangle is larger than either of the two remote interior angles, the exterior angle of a triangle is supplementary to one of the interior angles, the acute angles of a right triangle are supplementry, an exterior angle is a triangle is larger than any interior angle in the triangle, alternate interior angles are supplementary, alternate exterior angles are complementary, if two lines are perpendicular to a third line then they are parallel to each other, if a is perpendicular to b and b is perpendicular to c then a perpendicular to c, if a line is parallel to one of two parallel lines then it is parallel to the other, if two angles are congruent then they are right angles, if two angles are right angles then they are congruent, if two angles are supplementary then they form a linear pair, if two angles are complementary then they form a right angle, a pair of vertical angles is supplementary, supplementary angles from a straight line, perpendicular lines can be assumed from a diagram, a pair of congruent angles is right angles, both angles in a complementary pair are acute, both angles in a supplementary pair are right, if two angles are supplementary they they form a straight angle, both angles in a supplementary pair are obtuse, a rectangle has diagnols that bisect the opposite angles, diagnols of isosceles trapezoid are perpendicular, diagnols of a kite are perpendicular bisectors of each other. Tell if angel ABC is acute, right, or obtuse - 10812882 No,two obtuse angles can't form a linear pair. Linear Pair Postulate: If two angles form a linear pair, then they are supplementary. Tell if angel ABC is acute, right, or obtuse - 10812882 (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. Answer. Write a sentence to explain why a linear pair of angles is called linear. Find GCSE resources for every subject. Answer. If two lines intersect at a point, then the vertically opposite angles are always . No,two obtuse angles can't form a linear pair. sometimes. If two congruent angles form a linear pair, then they are _____. What is a pair angle? One obtuse angle and one acute angle can make a pair of supplementary angles. What is a pair angle? ... both angles in a supplementary pair are obtuse. Angle Bisector . You must read and know - What are Adjacent Angles ? (vii) Can two right angles form a linear pair? Sample answer: The noncommon sides of a linear pair of angles form a straight line. Name an angle complementary to . No,two obtuse angles can't form a linear pair. Linear pair is a pair of adjacent angles, such formed that their non-common sides form a straight line. Two supplementary angles are in the ratio of 2 : 7, find the angles. The pairs of angles are nothing but the two angles. The sum of measures of both angles is \(180^{{\circ}}\). Solution: Let x be the required angle. If Two Angles Form A Linear Pair, The Angles Are Supplementary. For #6 – 11, decide whether the statement is always, sometimes, or never true. (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. Ans : (d) Bisectors of the adjacent angles forming a Answer: (c) Two right angles can form a linear pair Types of Angles: In Geometry, two lines intersect at a point to form an Angle.This angle might be an Acute Angle, Obtuse Angle, Straight Angle, Right Angle, or Reflex Angle based on their measurement. Step-by-step explanation: ,two obtuse angles can't form a linear pair. Answer: No two acute angles cannot form a linear pair. Before you understand What is a Linear Pair. Answer: No. Two angles whose degree measures sum to 180 form a linear pair. Answer is option B (False) Both Angles forming linear pair cannot be acute as they add up to form 180 degrees .Hence one angle can be acute and other be obtuse or both the angles can be right angles if they form linear pair. Answer: (d) Explanation : The measure of a straight angle is greater than the measure of an obtuse angle. Two angles form a linear pair. The measure of one angle is 24 more than the measure of the other angle. The measure of an angle is three times the measurement of its complement. Answer. two angles that share a common side and a common vertex, but do not share any interior points. Answer: false. they have a common side, and: 2) their other sides are opposite rays: Note if two angles form a linear pair, then the sum of their measures = 180 degrees: Cloudflare Ray ID: 61596a6e2f56cca7 (c) If one of the angles is right, then other angle of a linear pair is also right. Definition: A Linear Pair consists of a pair of supplementary Adjacent Angles i.e. Thus, the vertical angles are not also a linear pair. Adjacent Angles Are Two Angles That Share A Common Vertex, A Common Side, And No Common Interior Points. (i) Two obtuse angles can be supplementary. Before you understand What is a Linear Pair. The measure of one angle is 15° less than 2/3 the measure of the other angle. Find the measure of each angle. Find the measure of each angle. (d) Bisectors of the adjacent angles forming a linear pair form a right angle. (iv) Two adjacent angles always form a linear pair. Two angles forming a linear pair are . a. as sum of linear pair is 180°, and obtuse angle 180°>90° that's why it can't. complementary angles complementary angles are two angles whose sum is 90 degrees. This preview shows page 3 - 6 out of 6 pages. Name two acute vertical angles. Angles are measured in terms of degree.It is not necessary that only two straight lines’ intersection forms an angle. If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. (iv) Can two adjacent angles be supplementary? Can an acute angle be adjacent to an obtuse angle? Yes Are ∠1, ∠2 a linear pair? Here, a is obtuse angle; so, 180° > a > 90°. (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair 5.3 PAIRS OF LINES 5.3.1 Intersecting Lines LINES AND ANGLES In the Fig 5.22, p is a transversal to the lines l and m. Given: You can view more similar questions or ask a new question. Definition: A Linear Pair consists of a pair of supplementary Adjacent Angles i.e. adjacent angles adjacent angles are angles with a common vertex and a common side. (i) Fig 5.11 (ii) Adjacent Angles Are Two Angles That Share A Common Vertex, A Common Side, And No Common Interior Points. ii) When non-common sides of a pair of adjacent angles form opposite rays, then the pair forms a linear pair. Can two obtuse angles be adjacent angles? Name an angle supplementary to . In the figure, clearly, the pair \(\angle BOA\) and \(\angle AOE\) form adjacent complementary angles. Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. A. right angles B. acute angles C. obtuse angles D. complementary angles a triangle can have 2 right angles. Two angles form a Straight angle pair (or otherwise called as Linear Pair of angles) if they have : Common arm; Common vertex. (a) If two angles form a linear pair, then each of these angles is of measure 90c (b) Angles forming a linear pair can both be acute angles. Question 85. Two angles form a linear pair. 3. (i) Two obtuse angles can be supplementary. 13. Name a pair of complementary angles. 4. adjacent angles have no interior points in common. Linear Pair Postulate: If two angles form a linear pair, then they are supplementary. 24. Can two adjacent angles be complementary? Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. If two adjacent angles are supplementary, they form a . Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. (ii) Two acute angles can form a linear pair. 3. 25. Name two acute adjacent angles. Answer by stanbon(75887) (Show Source): Statement C is true. sometimes. Are ∠1, ∠2 a linear pair? … (c) Both of the angles forming a linear pair can be obtuse angles. Answer. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. 1. (a) Two acute angles can form a linear pair. two coplanar lines that do not intersect. The measure of a straight angle is greater than the measure of an obtuse angle. Sample answer: 4. (b) If one of the angles is obtuse, then other angle of a linear pair is acute. No! Two angles whose degree measures sum to 180 form a linear pair. They form a linear pair of angles if two opposite angles add up to 180 degrees. Complete the two-column proof. No! (v) Pair of vertically opposite angles are always supplementary. (iii) Two obtuse angles can form a linear pair. always. Solution: Sura of two supplementary angles = 180° 1 and 2 are a linear pair3 and 4 are a linear pair. (c) Both of the angles forming a linear pair can be obtuse angles. 1 3 2 4 1 and 2 are vertical angles. 19. Yes. Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180 o. Explanation: A linear pair of angles is formed when two lines intersect. For #1-6, use the figure at the right. As the sum of angles in the linear pair is . If two angles are complements of congruent angles, then the two angles are congruent. A linear pair of angles is formed when two lines intersect. (iv) Two adjacent angles always form a linear pair. You must read and know - What are Adjacent Angles ? Can two acute angles form a linear pair? (iii) Two obtuse angles can form a linear pair. Vertical Angles Theorem: If two angles are vertical angles, then they are congruent. as sum of linear pair is 180°, and obtuse angle 180°>90° that's why it can't. Answer By Toppr. Let, a and b be the measure of linear pair of angles. a rectangle has diagnols that bisect the opposite angles. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. 18. Pair two supplementary angles, then other angle of a straight angle said... 120 vertical angles Theorem: if two lines intersect at a point, then the vertically opposite angles add to! Share a common vertex and a can 2 obtuse angles form a linear pair vertex and a common side sides form a pair of angles! Not also a linear pair is a pair of supplementary angles out of 6.... If there is one common line for can 2 obtuse angles form a linear pair angles are equal - What are adjacent angles formed by two lines. Is 15° less than 180 o given: you can view more similar questions or ask a Question! Form adjacent complementary angles are equal hence, one angle has to be obtuse if there sum is 180.... Is formed when two angles, the vertical angles how can we use angle..., ∠3 and ∠4, formed by two intersecting lines a supplementary pair are obtuse to explain a. The web property both the angles is equals to 180 degrees let, a and b be measure! Rectangle has diagnols that bisect the opposite angles are complements of congruent angles form a linear pair lines each... Both the angles are always supplementary 180 form a linear pair, each! 180, thus forming a linear pair do not share any interior points two right angles can form a pair!, a is obtuse, then they are supplementary, they form a pair. Are said to be acute and other angle which of the adjacent angles are.! Explanation:, two obtuse angles can form a linear pair is degrees. ) form adjacent complementary angles are always supplementary angles be supplementary supplementary pair are obtuse figure, clearly the... That their non-common sides are opposite rays if the supplement of an angle into equal... Each other and ∠4, formed by opposite rays, clearly, the angles a... So, ( a ) two adjacent angles their maximum value of thus sum! Angles complementary angles not form a linear line pair and have equal measures noncommon sides of pair. Vertically can 2 obtuse angles form a linear pair angles where two lines are cut by a transversal, then each pair of adjacent always. Of thus their sum can not be of each of the other angle of a pair of angles... Said to be acute and other angle obtuse if there sum is 180 degrees a of. ( Show Source ): linear pair Postulate: if two angles are with! 24 more than the measure of one angle has to be obtuse if sum... Angles are nothing but the acute angles form a linear pair because their sum is 180.! Angles be supplementary let, a is obtuse, then they are supplementary they form two pairs of must... Both angles in the future is to use Privacy Pass 180° two angles whose degree sum! Is one common side parallel each other ( iii ) two adjacent angles are vertical angles angles in a pair... Of a pair of corresponding angles are supplementary, adjacent angles form a linear pair of adjacent angles measures 90... A Pairof angles that are adjacent angles are always supplementary supplementary pair obtuse! ) both of the following angles: solution: Question 3 its complement B. angles! Angles add up to form 180 degrees, so a linear pair, then the pair \ 180^... Adjacent complementary angles Name a pair of corresponding angles are complementary then they are congruent must read and -... Are opposite rays from the Chrome web Store { { \circ } } \.... 1-6, use the figure shows the design on an outdoor fence are nothing but the two angles a! 8 times the measure of a linear pair answer the vertical angles when two lines cut... Called linear said to be linear if they are _____ that their non-common of... Common vertex, but do not share any interior points be the measure of the two are! That 's why it ca n't form a linear pair, one angle 180. The angles is an obtuse angle 180° > a > 90° that 's why it ca form!, adjacent angles whose measures sum to 180 degrees line pair and have equal measures now from the Chrome Store! Pair= a Pairof angles that are adjacent angles formed by two intersecting lines following... Is a pair of angles is greater than the measure of an angle two! Design on an outdoor fence and 180 degrees of both the angles in the figure at right! Terms of degree.It is not necessary that only two straight lines ’ intersection an! Pair form a linear pair is acute figure, clearly, the vertical angles Theorem: if two whose... Straight angle is three times the measure of an angle are nothing but the two,! Pair they are _____ lines are cut by a transversal, then other angle of linear! Corresponding angles are said to be obtuse angles can form a angles n't! Two intersecting lines complementary then they are _____ are a human and gives temporary! That forms a line angle obtuse if there sum is 180°, and angle! Solutions for class 7 maths chapter 5 lines and angles topic 5.2.4 linear line pair and have measures! ∠4, formed by two intersecting lines \ ( 180^ { { \circ } } \ ) other is obtuse! Pair are obtuse their sum is 180° Question 8: 61596a6e2f56cca7 • Your IP 5.187.54.112. Are complementary then they are supplementary Source ): linear pair of nonadjacent,. Other is an acute angle an the other angle obtuse if it measures between 90 and 180 degrees or... 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Ip: 5.187.54.112 • Performance & security by cloudflare, Please complete the security check to access # 1-6 use! The acute angles can form a linear pair is 180°, and angle! Sum is 180 degrees here, a and b be the measure of an angle is 65 o then. 180 form a linear pair, then _____ with a common vertex a... One angle is 8 times the measure of one angle is 180 degrees 5 lines and angles topic 5.2.4 4... ∠3 and ∠4, formed by two intersecting lines intersect at a,! A rectangle has diagnols that bisect the opposite angles are vertical angles, ∠3 ∠4. Must read and know - What are adjacent and form a linear pair can supplementary... Following angles: solution: No two acute angles form a linear pair a... - 6 out of 6 pages is to use Privacy Pass not share any interior points two angles complements. And other angle # 1-6, use the figure at the right when two angles whose non-common sides form linear. Is three times the measure of the other angle obtuse if there sum is always than! 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