Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle lkm = 115.6^{circ}$, what is $mangle ghf?

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Explanation:

Step1: Identify angle - relationship

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

Step2: Determine the measure of $\angle GHF$

Since $\angle LKM = 115.6^{\circ}$ and $\angle GHF\cong\angle LKM$, then $m\angle GHF=115.6^{\circ}$.

Answer:

$115.6$