Question

look at this diagram: if mo and pr are parallel lines and m∠pqs = 114°, what is m∠mnq?

Explanation:

Step1: Identify angle - relationship

$\angle PQS$ and $\angle MNQ$ are corresponding angles.

Step2: Apply parallel - lines property

When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle MNQ=m\angle PQS$.

Answer:

$114$