Question

look at this diagram: if ln and oq are parallel lines and m∠opr = 117.8°, what is m∠lmk?

Explanation:

Step1: Identify angle - relationship

$\angle OPR$ and $\angle LMK$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle LMK$

Since $\angle OPR = 117.8^{\circ}$ and $\angle LMK=\angle OPR$ (corresponding - angles), then $m\angle LMK = 117.8^{\circ}$.

Answer:

$117.8$