Question

look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarrow{pr}$ are parallel lines and $mangle onq = 63^{circ}$, what is $mangle mnl$?

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply the vertical - angle property

Since vertical angles have the same measure and $m\angle ONQ = 63^{\circ}$, then $m\angle MNL=m\angle ONQ$.

Answer:

$63$