Question

look at this diagram: if (overrightarrow{np}) and (overrightarrow{qs}) are parallel lines and (mangle pom = 122^{circ}), what is (mangle nor)?

Explanation:

Step1: Identify vertical - angle relationship

$\angle POM$ and $\angle NOR$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle NOR=m\angle POM$.

Answer:

$122^{\circ}$