Question

look at this diagram: if $overline{eg}$ and $overline{hj}$ are parallel lines and $mangle hik = 54^{circ}$, what is $mangle gfd$?

Explanation:

Step1: Identify angle - type relationship

$\angle HIK$ and $\angle GFD$ are corresponding angles.

Step2: Apply the property of corresponding angles

For parallel lines $EG$ and $HJ$, corresponding angles are congruent. So $m\angle GFD=m\angle HIK$.

Answer:

$54$