Question

look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarrow{eg}$ are parallel lines and $mangle efc = 117^{circ}$, what is $mangle gfh?$

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle EFC$ and $\angle GFH$ are vertical angles.

Step2: Apply vertical - angle property

Since vertical angles are congruent, if $m\angle EFC = 117^{\circ}$, then $m\angle GFH=m\angle EFC$.

Answer:

$117$