Question

look at this diagram: if fh and ik are parallel lines and m∠hge = 114°, what is m∠jl?

Explanation:

Step1: Identify angle - relationship

$\angle HGE$ and $\angle IJL$ are corresponding angles.

Step2: Apply corresponding - angles property

When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle IJL=m\angle HGE$.

Answer:

$114$