Question

look at this diagram:
if \\( \overleftrightarrow { l n } \\) and \\( \overleftrightarrow { o q } \\) are parallel lines and \\( m \angle n m p = 121 ^ { \circ } \\), what is \\( m \angle o p m \\) ?
\\( \square ^ { \circ } \\)

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. $\angle NMP$ and $\angle OPM$ are vertical angles.

Step2: Use the given angle measure

Given $m\angle NMP = 121^{\circ}$.
Since $\angle NMP=\angle OPM$ (vertical angles), then $m\angle OPM = 121^{\circ}$.

Answer:

$121$