Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle mli = 68^{circ}$, what is $mangle mln$?

Explanation:

Step1: Recall linear - angle property

Angles $\angle MLI$ and $\angle MLN$ form a linear - pair. The sum of angles in a linear - pair is $180^{\circ}$.
So, $m\angle MLI + m\angle MLN=180^{\circ}$.

Step2: Solve for $m\angle MLN$

Given $m\angle MLI = 68^{\circ}$, we substitute into the equation:
$m\angle MLN=180^{\circ}-m\angle MLI$.
$m\angle MLN = 180 - 68$.
$m\angle MLN=112^{\circ}$.

Answer:

$112^{\circ}$