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Question
look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle mlj = 115^{circ}$, what is $mangle klo$?
Step1: Identify vertical - angle relationship
$\angle MLJ$ and $\angle KLO$ are vertical angles.
Step2: Apply vertical - angle property
Vertical angles are congruent. So, $m\angle KLO=m\angle MLJ$.
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$115$