Question

if $overleftrightarrow{mo}$ and $overleftrightarrow{pr}$ are parallel lines and $mangle onl = 43.7^{circ}$, what is $mangle rqn$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Recall vertical - angle property

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

Answer:

$43.7^{\circ}$