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Question
look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle ghk = 133^{circ}$, what is $mangle jkm$?
Step1: Identify angle - type relationship
$\angle GHK$ and $\angle JKM$ are corresponding angles.
Step2: Apply property of corresponding angles
For parallel lines, corresponding angles are congruent. So $m\angle JKM=m\angle GHK$.
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$133$