Question

An angle which is half of its supplement is of ______.

Answer 1

An angle which is half of its supplement is of 60°.

Explanation:

Let the required angle be x.

Then, its supplement will be (180° – x).

It is given that x is half of its supplement i.e. (180° – x).

Therefore, x = `1/2`(180° – x)

⇒ 2x = 180° – x

⇒ 2x + x = 180°

⇒ 3x = 180°

⇒ x = `180^circ/3`

⇒ x = 60°