Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle ghk = 111^{circ}$, what is $mangle jkm$?

Explanation:

Step1: Identify angle - relationship

$\angle GHK$ and $\angle JKM$ are corresponding angles.

Step2: Apply property of corresponding angles

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

Answer:

$111$