Question

look at this diagram: if (overline{oq}) and (overline{rt}) are parallel lines and (mangle tsu = 122^{circ}), what is (mangle qps?)

Explanation:

Step1: Identify angle - relationship

$\angle TSU$ and $\angle QPS$ are corresponding angles.

Step2: Apply property of corresponding angles

For parallel lines, corresponding angles are equal. Since $\angle TSU = 122^{\circ}$, then $\angle QPS=122^{\circ}$.

Answer:

$122$