Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle ghk = 110^{circ}$, what is $mangle jkh$?

Explanation:

Step1: Identify angle - relationship

$\angle GHK$ and $\angle JKH$ are alternate - interior angles.

Step2: Apply property of parallel lines

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. So $m\angle JKH=m\angle GHK$.

Answer:

$110$