Question

look at this diagram: if qs and tv are parallel lines and m∠qrp = 66°, what is m∠sru?

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle QRP$ and $\angle SRU$ are vertical angles.

Step2: Determine the measure of $\angle SRU$

Since $\angle QRP = 66^{\circ}$ and $\angle QRP=\angle SRU$ (vertical - angles are congruent), then $m\angle SRU = 66^{\circ}$.

Answer:

$66$