Question

If angle $P$ and angle $Q$ are supplementary and the measure of angle $P$ is ${60}^{\circ }$, then the measure of angle $Q$ is

• A. ${120}^{\circ }$
• B. ${60}^{\circ }$
• C. ${30}^{\circ }$
• D. ${20}^{\circ }$

Answer 1

The correct option is A

${120}^{\circ }$

Explanation for the correct answer:

Two angles are said to be supplementary when the sum of their measures is equal to ${180}^{\circ }$

$\Rightarrow$ $\angle P+\angle Q={180}^{\circ }$

$\Rightarrow$ ${60}^{\circ }+\angle Q={180}^{\circ }$

$\Rightarrow$ $\angle Q={120}^{\circ }$

Therefore, as $\angle Q={120}^{\circ }$, so, option $\left(A\right)$ is the correct answer.