Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle qpm = 44^{circ}$, what is $mangle lmk$?

Explanation:

Step1: Identify corresponding - angles

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

Step2: Apply the property of corresponding - angles

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

Answer:

$44$