Question

Write the angle which is one-fifth of its complement.

Answer 1

Let the angle be x complement of x is (90° − x) One fifth of the complement angle is (90° − x)/5 Given x = (90° − x)/5 ⇒ 5x = 90° − x ⇒ 6x = 90° ⇒ x = 90°/ 6 = 15° Hence (90° − x) = (90° − 15°) = 75° Thus the angles are 15° and its complement is 75°.