Question

look at this diagram: if (overleftrightarrow{ln}) and (overleftrightarrow{oq}) are parallel lines and (mangle opm = 133^{circ}), what is (mangle nmp)?

Explanation:

Step1: Identify angle - type relationship

$\angle{OPM}$ and $\angle{NMP}$ are alternate - interior angles.

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. So $m\angle{NMP}=m\angle{OPM}$.

Answer:

$133^{\circ}$