Question

look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle nor = 52^{circ}$, what is $mangle pom$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply vertical - angle property

Vertical angles are congruent. Since $m\angle NOR = 52^{\circ}$, then $m\angle POM=m\angle NOR$.

Answer:

$52$