Question

if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle mlo = 133^{circ}$, what is $mangle nol$?

Explanation:

Step1: Identify angle - relationship

$\angle MLO$ and $\angle NOL$ are same - side interior angles.

Step2: Apply property of parallel lines

For parallel lines $\overleftrightarrow{KM}$ and $\overleftrightarrow{NP}$, same - side interior angles are supplementary. So $m\angle MLO + m\angle NOL=180^{\circ}$.

Step3: Solve for $m\angle NOL$

$m\angle NOL = 180^{\circ}-m\angle MLO$. Substitute $m\angle MLO = 133^{\circ}$ into the equation. Then $m\angle NOL=180 - 133=47^{\circ}$.

Answer:

$47$