Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle lmk = 133.4^{circ}$, 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 $\angle LMK = 133.4^{\circ}$ and $\angle QPR\cong\angle LMK$, then $m\angle QPR = 133.4^{\circ}$.

Answer:

$133.4$