Question

look at this diagram:
diagram of lines and angles
if \overleftrightarrow{gi} and \overleftrightarrow{jl} are parallel lines and m\angle ihk = 124^\circ, what is m\angle lkm?
blank box for answer ^\circ
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Explanation:

Step1: Identify supplementary angle

$\angle IHK$ and $\angle GHK$ are supplementary, so $m\angle GHK = 180^\circ - 124^\circ$

Step2: Calculate $\angle GHK$

$m\angle GHK = 56^\circ$

Step3: Use parallel line property

Since $\overleftrightarrow{GI} \parallel \overleftrightarrow{JL}$, $\angle GHK$ and $\angle LKM$ are corresponding angles, so $m\angle LKM = m\angle GHK$

Answer:

$56$