Question

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

Explanation:

Step1: Identify vertical - angle relationship

$\angle OPN$ and $\angle QPS$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle QPS=m\angle OPN$.

Answer:

$46$