Question

look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarrow{hj}$ are parallel lines and $mangle efi = 49^{circ}$, what is $mangle gfd$?

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Recall vertical - angle property

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

Answer:

$49$