Question

If an angle is 28° less than its complement, find its measure.

Answer 1

Angle measured will be ‘x’ say

∴ its complement will be (90 - x)°

It is given that

Angle = Complement -28°

⇒ x = (90 - x)° - 28°

⇒ x° = 90° - 28° - x°

⇒ 2x° = 62°

⇒ x = 31°

∴ Angle measured is 31°