Question

look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarrow{pr}$ are parallel lines and $mangle mnq = 111^{circ}$, what is $mangle onl$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle MNQ$ and $\angle ONL$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle ONL=m\angle MNQ$.

Answer:

$111$