Question

question 2 of 10 given ▱pqrs, what is the measure of ∠q? a. 50° b. 240° c. 140° d. 40° e. 25° f. 90°

Explanation:

Step1: Recall property of parallelogram

Adjacent angles in parallelogram are supplementary.

Step2: Identify adjacent angles

In parallelogram $PQRS$, $\angle S$ and $\angle Q$ are adjacent angles.

Step3: Calculate $\angle Q$

Since $\angle S = 40^{\circ}$ and $\angle S+\angle Q=180^{\circ}$, then $\angle Q = 180 - 40=140^{\circ}$.

Answer:

C. 140°