Question

1)2 suplementry angles, the measure of the larger angle is 36 more then the measure of the smaller. find d measure of smaller angle.

2)2 suplementry angles differ by 34 find d angles

Answer 1

Let the measure of the supplementary angles be x and (x + 36).
⇒ (x) + (x + 36) = 180°
⇒ 2x + 36 = 180°
⇒ 2x = 144°
⇒ x = 72°
Therefore, measures of the supplementary angles are 72° and (72 + 36) i.e. 108°.