Question

look at this diagram. if (overleftrightarrow{mn}) and (overleftrightarrow{pq}) are parallel lines and (mangle noq = 68^{circ}), what is (mangle pol)?

Explanation:

Step1: Identify vertical - angle relationship

$\angle NOQ$ and $\angle POL$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are equal. Since $m\angle NOQ = 88^{\circ}$, then $m\angle POL=88^{\circ}$.

Answer:

$88^{\circ}$