Question

look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle poq = 47^{circ}$, what is $mangle nol$?

Explanation:

Step1: Identify angle - relationship

$\angle POQ$ and $\angle NOL$ are vertical - angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, $m\angle NOL=m\angle POQ$.

Answer:

$47$