Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle rqt = 131^{circ}$, what is $mangle stq?$

Explanation:

Step1: Identify angle - relationship

$\angle RQT$ and $\angle STQ$ are alternate - interior angles.

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. So $m\angle STQ=m\angle RQT$.

Answer:

$131$