Question

look at this diagram: if oq and rt are parallel lines and m∠tsu = 46°, what is m∠qps?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply property of corresponding angles

For parallel lines $OQ$ and $RT$ cut by transversal $UN$, corresponding angles are equal. So $m\angle QPS=m\angle TSU$.

Answer:

$46$