Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle jil = 118^{circ}$, what is $mangle hig$?

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply vertical - angle property

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

Answer:

$118$