Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle hig = 41^{circ}$, what is $mangle jil$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle HIG$ and $\angle JIL$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle JIL=m\angle HIG$.

Answer:

$41$