Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle rqo = 70^{circ}$, what is $mangle stq$?

Explanation:

Step1: Identify angle - relationship

$\angle RQO$ and $\angle STQ$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are equal. Since $\overline{PR}$ and $\overline{SU}$ are parallel and $\angle RQO = 70^{\circ}$, then $\angle STQ=\angle RQO$.

Answer:

$70$