Question

look at this diagram: if $overleftrightarrow{fh}$ and $overleftrightarrow{ik}$ are parallel lines and $mangle fge = 111^{circ}$, what is $mangle il$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Determine the measure of $\angle IJL$

Since $\angle FGE = 111^{\circ}$ and $\angle FGE\cong\angle IJL$, then $m\angle IJL = 111^{\circ}$.

Answer:

$111$