Question

look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarrow{pr}$ are parallel lines and $mangle onq = 58^{circ}$, what is $mangle mnl$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle ONQ$ and $\angle MNL$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle MNL=m\angle ONQ$.

Answer:

$58$