Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle opm = 47^{circ}$, what is $mangle lmk$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle OPM$ and $\angle LMK$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, $m\angle LMK=m\angle OPM$.

Answer:

$47^{\circ}$