Question

look at this diagram: if hj and km are parallel lines and m∠jil = 70°, what is m∠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 if $m\angle JIL = 70^{\circ}$, then $m\angle HIG=m\angle JIL$.

Answer:

$70^{\circ}$