Question

Find the angle whose supplement is four times its complement.

Answer 1

Sol:

Let the measure of the required angle be x°.

Then, measure of its complement = (90 – x)^o

And, measure of its supplement= (180 – x)^o

Therefore,

(180 – x) = 4(90 – x)

180 – x = 360 – 4x

3x = 180

x = 60

Hence, the measure of the required angle is 60°.