Question

If the complement of an angle is 1/5 its supplement find the angle

Answer 1

Consider the Angle to be x.

So Its Compliment=90-x

Supplement=180-x

According to the question,

5(90-x)=180-x
→450-5x=180-x
→450-180=5x-x
→270=4x
→270/4=x
→x=67.5°

Hope it helps...
Regards,
Leukonov.