Question

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

Explanation:

Step1: Identify corresponding - angles

Since $\overleftrightarrow{LN}$ and $\overleftrightarrow{OQ}$ are parallel lines, $\angle LMK$ and $\angle OPM$ are corresponding angles.

Step2: Apply the property of corresponding angles

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

Answer:

$133$