Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle jig = 64^{circ}$, what is $mangle hil$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle JIG$ and $\angle HIL$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle HIL=m\angle JIG$.

Answer:

$64$