Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle mln = 131^{circ}$, what is $mangle mli?$

Explanation:

Step1: Identify angle - relationship

$\angle MLN$ and $\angle MLI$ are supplementary angles since they form a linear - pair.

Step2: Use the supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. Let $m\angle MLN = 131^{\circ}$ and $m\angle MLI=x$. Then $x + 131^{\circ}=180^{\circ}$.

Step3: Solve for the unknown angle

$x=180^{\circ}-131^{\circ}=49^{\circ}$.

Answer:

$49$