Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle ghf = 54^{circ}$, what is $mangle jkm$?

Explanation:

Step1: Identify angle - type relationship

$\angle GHF$ and $\angle JKM$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine angle measure

Since $\angle GHF = 54^{\circ}$ and $\angle GHF\cong\angle JKM$, then $m\angle JKM = 54^{\circ}$.

Answer:

$54$