Question

look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle stq = 61^{circ}$, what is $mangle pqo$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are equal. Since $\overleftrightarrow{PR}$ and $\overleftrightarrow{SU}$ are parallel and $\angle STQ = 61^{\circ}$, then $\angle PQO=\angle STQ$.

Answer:

$61$