Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle rqt = 67^{circ}$, what is $mangle utq$?

Explanation:

Step1: Identify angle - relationship

$\angle RQT$ and $\angle UTQ$ are vertical - angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle UTQ=m\angle RQT$.

Answer:

$67$