Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle lkm = 69^{circ}$, what is $mangle ihk$?

Explanation:

Step1: Identify angle - relationship

$\angle LKM$ and $\angle IHK$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. Since $\overleftrightarrow{GI}$ and $\overleftrightarrow{JL}$ are parallel and $FM$ is the transversal, $m\angle IHK=m\angle LKM$.

Answer:

$69$