Question

look at this diagram: if (overleftrightarrow{eg}) and (overleftrightarrow{hj}) are parallel lines and (mangle efi = 68^{circ}), what is (mangle hik)?

Explanation:

Step1: Identify angle - type relationship

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

Step2: Apply vertical - angles property

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

Answer:

$68^{\circ}$