Question

look at this diagram: if (overleftrightarrow{oq}) and (overleftrightarrow{rt}) are parallel lines and (mangle tsu = 123^{circ}), what is (mangle rsp)?

Explanation:

Step1: Identify angle - relationship

$\angle TSU$ and $\angle RSP$ are vertical - angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, i.e., $\angle TSU=\angle RSP$.

Answer:

$123$