Question

If the complement of an angle is one-fifth
its supplement, find the measure of the
angle.​

Answer 1

Dear student

Let the angle be x.Complement of the angle=90°−xSupplement of the angle=180°−xGiven,Complement of the angle=15(Supplement of the angle)⇒90°−x=15(180°−x)⇒450°−5x=180°−x⇒270°=4x⇒x=67.5°