(iii) Two obtuse angles can form a linear pair. Answer. Because acute angles add up to 0 through 90. Two angles forming a linear pair are . It is a pair of angles sitting on a line! No. Angles /_1 and /_2 are adjacent (share one side) and acute. WHY??? Supplementary angles only add up to 180. Justify . 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 … There are currently no name for 2 angles that add up to 270 degrees but Explementary Angles are the name for a pair of angles that adds up to 360 degrees, even if an angle is more than 180 degrees Hope that this is helpful (3 votes) See 2 more replies If the two supplementary angles are adjacent (i.e. (i) Two obtuse angles can be supplementary. If we add 60° and 70°, we get 60°+ 70° = 130° <180° Hence, two acute angles cannot form a pair of supplementary angles. Sum of interior angles on the same side of a transversal with two parallel lines is 90°. (i) Two obtuse angles can be supplementary. sometimes. Hence, one angle has to be acute and other angle obtuse if there sum is 1 8 0 degrees. Give reason in support of your answer. Such angles are called a linear pair of angles. Please enable Cookies and reload the page. These two angles can be "pasted"together to form a right angle! MRsooN MRsooN Since when two angles form linear pair they are supplementary, they add up to form 1 8 0 degrees. 4. • Two acute angles can be vertical, adjacent, complementary. Cloudflare Ray ID: 61625271cffa3fd8 (i) Two obtuse angles can be supplementary. In the above diagram (Fig 5.4), the ‘30° angle’ is the complement of the ‘60° angle’ and vice versa. An acute angle is an angle whose measure of degree is more than zero degrees but less than 90 degrees. 6. (vi) 30° is one-half of its complement. Vertical angles are congruent. … Two obtuse angles form a linear pair. ∠ABC is the complement of ∠CBD Supplementary Angles. (iv) Two adjacent angles always form a linear pair. Question 86. If two lines intersect a point, then the vertically opposite angles are always _____. (iii) Two obtuse angles can form a linear pair. Those two angles … No. (a) Two acute angles can be complementary to each other (b) Two obtuse angles can be complementary to each other (c) Two right angles can be complementary to each other (d) One obtuse angle and one acute angle can be complementary to each other. (v) Pair of vertically opposite angles are always supplementary. If two angles build up to develop a straight angle, those angles are described as additional angles. SOLUTION As each of the angle is $$<90^0$$.So, the sum of two acute angles is always less than $$ 180^0$$.Hence they cannot form pair of supplementary angles. If the sum of two angles equal to 180°, then it is a Complementary angle. An obtuse angle has a degree measure of 170. sometimes. Performance & security by Cloudflare, Please complete the security check to access. Question 7: Can two angles be supplementary if both of them are: (i) acute (ii) obtuse (iii) right? Yes. Think, Discuss and Write 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 _____. 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. But ... (Angle) Parallel Lines and Pairs of Angles Geometry Index. (vii) If two lines are cut by a transversal, Two acute angles form a linear pair. ii) When non-common sides of a pair of adjacent angles form opposite rays, then the pair forms a linear pair. Each is a supplement of the other. Two angles whose degree measures sum to 180 form a linear pair. These two angles can be "pasted"together to form a straight line! Two angles /_A are vertical (formed by two intersecting lines) and acute (smaller than 90^o). ∠ θ and ∠ β are supplementary angles because they add up to 180 degrees. If two adjacent angles are supplementary, they form a _____. As if both angles are 89° and 89°, even then they cannot make the sum 180°. (a) Two acute angles can be complementary to each other (b) Two obtuse angles can be complementary to each other (c) Two right angles can be complementary to each other (d) One obtuse angle and one acute angle can be complementary to each other. Supplementary Angles. Two … Two acute angles cannot form a pair of supplementary angles . Eg: (120°, 60°), (45°.135°). (v) Pair of vertically opposite angles are always supplementary. 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 we take the largest acute angle,i.e.,89°,then also it does not add upto 180°.So,Two acute angle can never be supplementary. Two angles /_A are vertical (formed by two intersecting lines) and acute (smaller than 90^o). geometry. If we add 60° and 70°, we get 60°+ 70° = 130° <180° Hence, two acute angles cannot form a pair of supplementary angles. Theorem 2-8. 5. The two angles do not need to be together or adjacent. Two Angles are Supplementary when they add up to 180 degrees. Whenever two angles are complementary, each angle is said to be the complement of the other angle. Question 86. Cloudflare Ray ID: 616252734e2fc281 Answer: (a) When the sum of the measures of two angles is 90°, the angles are called complementary angles. Click here to get an answer to your question ️ correct?2 points(A) Two acute angles form a linear pair(B) Two obtuse angles form a linear pair(C) Two right… sanvi1542 sanvi1542 09.10.2020 Can two acute angles form a pair of supplementary angles? • Theorem 2-7. 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