Question

find the angle whose complement is 1/3 of its supplement.

Answer 1

  Let the angle be x
  complement of x is (90 − x)°
  supplement of x is (180 − x)°
A/q,
        (90 − x)° = (1/3) × (180 − x)°
    ⇒ 270° − 3x = 180°− x
    ⇒ 270° − 180° = 3x − x
    ⇒ 2x = 90°
    ∴ x = 45°

Answer 2

The angle is 60°
1/3×180
i.e 60