Question

look at this diagram. if $overleftrightarrow{mo}$ and $overleftrightarrow{pr}$ are parallel lines and $mangle onq = 118^{circ}$, what is $mangle pqn$?

Explanation:

Step1: Identify angle - relationship

$\angle ONQ$ and $\angle PQN$ are alternate - interior angles.

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. So $m\angle PQN=m\angle ONQ$.

Answer:

$118$