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Question
look at this diagram: if $overleftrightarrow{jl}$ and $overleftrightarrow{mo}$ are parallel lines and $mangle onp = 134^{circ}$, what is $mangle mnk$?
Step1: Identify vertical - angle relationship
$\angle ONP$ and $\angle MNK$ are vertical angles.
Step2: Apply vertical - angle property
Vertical angles are congruent. So $m\angle MNK=m\angle ONP$.
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$134$