Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle hig = 70^{circ}$, what is $mangle jil$?

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply vertical - angle property

Vertical angles are congruent. So if $m\angle HIG = 70^{\circ}$, then $m\angle JIL=m\angle HIG$.

Answer:

$70^{\circ}$