Question

If an angle is 30° more than one half of its complement, find the measure of the angle.

Answer 1

Angle measured will be ‘x’ say.

∴ its complement will be (90 - x)°

It is given that

Angle = 30° +`1/2`    Complement

⇒ x° = 30° +` 1/2` (90 - x)

⇒  `3x/2` x = 30° + 45° 

⇒ 3x = 150°

⇒ x - `150/3`

⇒ x = 50°

∴ Angle is 50°