Question

An angle is one fifth of its supplement. The measure of the angle is

(a) ${15}^{\circ }$

(b) ${30}^{\circ }$

(c) ${75}^{\circ }$ (d) ${150}^{\circ }$

Answer 1

ANSWER:
(b) ${30}^{\circ }$
Let the measure of the required angle be x
Then, the measure of its supplement will be 180-x
∴x=15

180-x⇒5x=180-x⇒6x=180⇒x=${30}^{\circ }$