Question

Supplementary angle of an angle is 9/4 times its complementary angle. Find the measure
of the supplementary angle.​

Answer 1

Step-by-step explanation:

Let angle be X,then it's complementary angle will be(90°-X)and supplementary angle will be(180°-X)

NOW,

(180°-X)=(9/4)(90°-X)

4(180°-X)=810°-9X

720°-4X=810°-9X

5X=90°

Therefore X =18°

Therefore supplementary angle=180-18=162°

Hope it helps you.