Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle rqo = 68^{circ}$, what is $mangle pqt$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply vertical - angle property

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

Answer:

$68$