Question

if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle ghk = 136^{circ}$, what is $mangle jkm$?

Explanation:

Step1: Identify angle - relationship

$\angle GHK$ and $\angle JKM$ are corresponding angles. When two parallel lines ($\overleftrightarrow{GI}$ and $\overleftrightarrow{JL}$) are cut by a transversal ($\overleftrightarrow{MF}$), corresponding angles are congruent.

Step2: Determine the measure of $\angle JKM$

Since $\angle GHK = 136^{\circ}$ and $\angle GHK\cong\angle JKM$, then $m\angle JKM = 136^{\circ}$.

Answer:

$136$