Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle hil = 113^{circ}$, what is $mangle jil$?

Explanation:

Step1: Recall linear - pair property

$\angle HIL$ and $\angle JIL$ form a linear - pair. The sum of the measures of angles in a linear - pair is $180^{\circ}$.

Step2: Set up the equation

Let $m\angle HIL = 113^{\circ}$ and $m\angle JIL=x$. Then $m\angle HIL + m\angle JIL=180^{\circ}$, so $113^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}- 113^{\circ}$.
$x = 67^{\circ}$.

Answer:

$67$