Question

look at this diagram: if jl and mo are parallel lines and m∠onk = 138°, what is m∠lko?

Explanation:

Step1: Identify angle - relationship

$\angle ONK$ and $\angle LKO$ are supplementary angles since $\overleftrightarrow{JL}$ and $\overleftrightarrow{MO}$ are parallel lines and $PI$ is a transversal.

Step2: Use supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. Let $m\angle ONK = 138^{\circ}$ and $m\angle LKO=x$. Then $m\angle ONK + m\angle LKO=180^{\circ}$, so $x = 180 - 138$.

Step3: Calculate the angle measure

$x=180 - 138=42^{\circ}$.

Answer:

$42$