Question

look at this diagram: if $overleftrightarrow{mo}$ and $overleftrightarrow{pr}$ are parallel lines and $mangle pqn = 69.7^{circ}$, what is $mangle rqs$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle PQN$ and $\angle RQS$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent, so $m\angle RQS=m\angle PQN$.

Answer:

$69.7^{\circ}$