Question

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

Explanation:

Step1: Identify angle - pair relationship

$\angle JIF$ and $\angle EFD$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So, $m\angle EFD=m\angle JIF$.

Answer:

$50^{\circ}$