How many degrees are there in an angle which

How many degrees are there in an angle which equals two-third of its complement?

  1. 60°
  2. 48°
  3. 45°
  4. 36°

Answer

Let angle be A.

Complementary angle = 90 - A

A = 2/3 * (90 - A)

3A = 180 - 2A

A = 36°

The correct option is D.