Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle ghf = 140^{circ}$, what is $mangle jkm$?

Explanation:

Step1: Identify corresponding angles

$\angle GHF$ and $\angle JKM$ are corresponding angles since $\overleftrightarrow{GI}$ and $\overleftrightarrow{JL}$ are parallel lines and they are in the same relative position with respect to the transversal.

Step2: Use property of corresponding angles

Corresponding - angles formed by parallel lines and a transversal are congruent. So $m\angle JKM=m\angle GHF$.

Answer:

$140$