Question

The measure of an angle which is four times its supplement is ______.

विकल्प

• 36°

• 144°

• 16°

• 64°

Answer 1

The measure of an angle which is four times its supplement is 144°.

Explanation:

Let the required angle be x.

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

It is given that, the angle is four times its supplement.

Therefore, x = 4(180° – x)

⇒ x = 4 × 180° – 4x

⇒ x + 4x = 720°

⇒ 5x = 720°

⇒ x = `720^circ/5`

⇒ x = 144°

Hence, the required angle is 144°.