Question

if (overline{pq}) and (overline{rt}) are parallel lines and (mangle rsu = 58^{circ}), what is (mangle qps?)

Explanation:

Step1: Identify angle - relationship

$\angle RSU$ and $\angle OPS$ are vertical - angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle OPS=m\angle RSU$.

Answer:

$58^{\circ}$