Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle stq = 61.9^{circ}$, what is $mangle pqt$?

Explanation:

Step1: Identify angle - relationship

$\angle STQ$ and $\angle PQT$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle PQT=m\angle STQ$.

Answer:

$61.9$