Question

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

Explanation:

Step1: Recall linear - pair property

Linear - pair angles are supplementary, meaning they add up to 180°. $\angle MLO$ and $\angle MLJ$ form a linear - pair.

Step2: Set up the equation

Let $x = m\angle MLJ$. We know that $m\angle MLO+x = 180^{\circ}$. Given $m\angle MLO = 138^{\circ}$, the equation becomes $138^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

Subtract 138° from both sides of the equation: $x=180^{\circ}- 138^{\circ}$.
$x = 42^{\circ}$

Answer:

$42$