Question

look at this diagram. if oq and rt are parallel lines and m∠tsu = 52°, what is m∠qps?

Explanation:

Step1: Identify vertical - angle relationship

$\angle TSU$ and $\angle QPR$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. Since $m\angle TSU = 52^{\circ}$, then $m\angle QPR=52^{\circ}$.

Answer:

$52$