Question

look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle nol = 110^{circ}$, what is $mangle poq$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle NOL$ and $\angle QOP$ are vertical angles.

Step2: Recall vertical - angle property

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

Step3: Find $m\angle POQ$

Since $m\angle NOL = 110^{\circ}$, then $m\angle POQ=110^{\circ}$.

Answer:

$110$