Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle ghk = 41^{circ}$, what is $mangle lkh?$

Explanation:

Step1: Identify angle - type relationship

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

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overleftrightarrow{GI}$ and $\overleftrightarrow{JL}$ are parallel and $\angle GHK = 41^{\circ}$, then $\angle LKH=\angle GHK$.

Answer:

$41$