Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle pqo = 133^{circ}$, what is $mangle rqt$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle PQO$ and $\angle RQT$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle RQT=m\angle PQO$.

Answer:

$133$