Question

look at this diagram: if $overleftrightarrow{fh}$ and $overleftrightarrow{ik}$ are parallel lines and $mangle hge = 112^{circ}$, what is $mangle kjg$?

Explanation:

Step1: Identify angle - type relationship

$\angle HGE$ and $\angle KJG$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle KJG$

Since $\angle HGE = 112^{\circ}$ and $\angle HGE\cong\angle KJG$, then $m\angle KJG = 112^{\circ}$.

Answer:

$112$