Question

look at this diagram: if (overrightarrow{eg}) and (overrightarrow{hj}) are parallel lines and (mangle jif = 50^{circ}), what is (mangle gfd?)

Explanation:

Step1: Identify angle - relationship

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

Step2: Recall vertical - angle property

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

Answer:

$50$