Question

look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarrow{hj}$ are parallel lines and $mangle efi = 118.9^{circ}$, what is $mangle hik$?

Explanation:

Step1: Identify angle - type relationship

$\angle EFI$ and $\angle HIK$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, $m\angle HIK=m\angle EFI$.

Answer:

$118.9$