Question

look at this diagram:
if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle mlo = 140^circ$, what is $mangle nol$?

Explanation:

Step1: Identify supplementary angle pair

$\angle MLO$ and $\angle KLO$ are supplementary, so $m\angle KLO = 180^\circ - m\angle MLO$

Step2: Calculate $\angle KLO$

$m\angle KLO = 180^\circ - 140^\circ = 40^\circ$

Step3: Use parallel lines property

Since $\overleftrightarrow{KM} \parallel \overleftrightarrow{NP}$, $\angle KLO$ and $\angle NOL$ are alternate interior angles, so $m\angle NOL = m\angle KLO$

Answer:

$40^\circ$