Question

find m∠vpq.

Explanation:

Step1: Set up equation using vertical - angle property

Vertical angles are equal. So, $x + 50=2x + 25$.

Step2: Solve for x

Subtract x from both sides: $50=x + 25$. Then subtract 25 from both sides: $x=25$.

Step3: Find the measure of $\angle VPQ$

Substitute $x = 25$ into the expression for $\angle VPQ$. $\angle VPQ=x + 50$. So, $\angle VPQ=25+50=75^{\circ}$.

Answer:

$75^{\circ}$