Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle rqo = 122^{circ}$, what is $mangle stq$?

Explanation:

Step1: Identify angle - relationship

$\angle RQO$ and $\angle STQ$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle STQ$

Since $\angle RQO = 122^{\circ}$ and $\angle RQO\cong\angle STQ$, then $m\angle STQ = 122^{\circ}$.

Answer:

$122$