Question

if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle lmk = 122^{circ}$, what is $mangle opm$?

Explanation:

Step1: Identify corresponding angles

$\angle LMK$ and $\angle OPM$ are corresponding angles since $\overleftrightarrow{LN}\parallel\overleftrightarrow{OQ}$ and $\overleftrightarrow{KR}$ is a transversal.

Step2: Use property of corresponding angles

Corresponding - angles formed by parallel lines and a transversal are congruent. So $m\angle OPM=m\angle LMK$.

Answer:

$122$