Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle lmk = 47.8^{circ}$, what is $mangle qpr$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Determine the measure of $\angle QPR$

Since $\angle LMK = 47.8^{\circ}$ and $\angle QPR$ is congruent to $\angle LMK$, then $m\angle QPR=47.8^{\circ}$.

Answer:

$47.8$