Question

look at this diagram. if $overleftrightarrow{eg}$ and $overleftrightarrow{hj}$ are parallel lines and $mangle gfi = 50^{circ}$, what is $mangle hif$?

Explanation:

Step1: Identify angle - relationship

$\angle GFI$ and $\angle HIF$ are alternate - interior angles.

Step2: Apply property of parallel lines

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. So $m\angle HIF=m\angle GFI$.

Answer:

$50$