Question

look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarrow{hj}$ are parallel lines and $mangle gfd = 57^{circ}$, what is $mangle jif?$

Explanation:

Step1: Identify angle - relationship

$\angle GFD$ and $\angle JIF$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Apply the corresponding - angles property

Since $\overrightarrow{EG}\parallel\overrightarrow{HJ}$ and $\angle GFD$ and $\angle JIF$ are corresponding angles, $m\angle JIF=m\angle GFD$.

Answer:

$57$