Question

look at this diagram: if $overleftrightarrow{fh}$ and $overleftrightarrow{ik}$ are parallel lines and $mangle hge = 137^{circ}$, what is $mangle fgj$?

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle HGE$ and $\angle FGJ$ are vertical angles.

Step2: Use the property of vertical angles

Since vertical angles are congruent, if $m\angle HGE = 137^{\circ}$, then $m\angle FGJ=m\angle HGE$.

Answer:

$137$