Angles which is both supplementary and vertically opposite are i 95,85 ii 90,90 iii 100,80 iv 45,45 b The angle which makes a linear pair with an angle of 61 is of i 39 ii 61 iii 112 iv 119 C half of angle is equal to one third of its supplement. The magnitude of the angle is i 36 ii 18 iii 72 iv 78 D The angles between south- west and north- east are i complementary ii supplementary iii acute angles iv obtuse angles.
A Angles which is both supplementary and vertically opposite are i 95,85 ii 90,90 iii 100,80 iv 45,45
Ans is ii 90, 90 since vert opp are equal and sum of suppl angles is 180
B The angle which makes a linear pair with an angle of 61 is of i 39 ii 61 iii 112 iv 119
Ans iv 119 since linear pair sum is 180
C half of angle is equal to one-third of its supplement. The magnitude of the angle is i 36 ii 18 iii 72 iv 78
Ans iii 72 x/2 = 1/3(180 - x) Solving for x, x = 72
D The angles between south- west and north- east are i complementary ii supplementary iii acute angles iv obtuse angles
Ans ii supplementary....the angle between SW and NE is 180 degrees straight angle
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