Question

if (overleftrightarrow{lm}) and (overleftrightarrow{np}) are parallel lines and (mangle poq = 140^{circ}), what is (mangle nol?)

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle POQ$ and $\angle NOL$ are vertical angles.

Step2: Apply vertical - angle property

Since vertical angles have the same measure and $m\angle POQ = 140^{\circ}$, then $m\angle NOL=m\angle POQ$.

Answer:

$140^{\circ}$