Question

If angle P and angle Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is ______.

Options

• 120°

• 60°

• 30°

• 20°

Answer 1

If angle P and angle Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is 120°.

Explanation:

It is given that, angles P and Q are supplementary.

Hence, the sum of P and Q will be 180°

∴ ∠P + ∠Q = 180°

⇒ 60° + ∠Q = 180°  ...[∵ ∠P = 60°, given]

⇒ ∠Q = 180° – 60°

⇒ ∠Q = 120°