Question

look at this diagram:
if (overleftrightarrow{eg}) and (overleftrightarrow{hj}) are parallel lines and (mangle gfi = 55^{circ}), what is (mangle efd)?

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. $\angle EFD$ and $\angle GF I$ are vertical angles.

Step2: Determine the measure of $\angle EFD$

Since $\angle EFD=\angle GF I$ and $m\angle GF I = 55^{\circ}$, then $m\angle EFD = 55^{\circ}$.

Answer:

$55$