Question

look at this diagram: if (overline{eg}) and (overline{hj}) are parallel lines and (mangle jik = 61^{circ}), what is (mangle hif?)

Explanation:

Step1: Identify vertical - angle relationship

$\angle JIK$ and $\angle HIF$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle HIF=m\angle JIK$.

Answer:

$61$