Question

look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle pol = 138^{circ}$, what is $mangle klo$?

Explanation:

Step1: Identify angle - type relationship

$\angle POL$ and $\angle KLO$ are supplementary angles since $\overleftrightarrow{KM}$ and $\overleftrightarrow{NP}$ are parallel lines and $\overleftrightarrow{QJ}$ is a transversal.

Step2: Use the supplementary - angle formula

Supplementary angles add up to 180°. Let $m\angle KLO=x$. Then $m\angle POL + x=180^{\circ}$. Given $m\angle POL = 138^{\circ}$, we have $x = 180^{\circ}-138^{\circ}$.

Step3: Calculate the angle measure

$x=42^{\circ}$.

Answer:

$42$