Question

look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle mlo = 61^{circ}$, what is $mangle nol$?

Explanation:

Step1: Identify angle - relationship

$\angle MLO$ and $\angle NOL$ are alternate - interior angles.

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overleftrightarrow{KM}\parallel\overleftrightarrow{NP}$ and $JQ$ is the transversal, $m\angle MLO=m\angle NOL$.

Answer:

$61$