Question

1. ∠p and ∠q are supplementary angles. if the measure of ∠q is 64°, find the measure of ∠p.

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. So, $\angle P+\angle Q = 180^{\circ}$.

Step2: Substitute the value of $\angle Q$

Given $\angle Q = 64^{\circ}$, then $\angle P=180^{\circ}-\angle Q$.

Step3: Calculate the value of $\angle P$

$\angle P = 180 - 64=116^{\circ}$.

Answer:

$116^{\circ}$