Question

if $overleftrightarrow{mo}$ and $overleftrightarrow{pr}$ are parallel lines and $mangle onl = 64^{circ}$, what is $mangle mnq$?

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply vertical - angle property

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

Answer:

$64$