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Question
look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarrow{rt}$ are parallel lines and $mangle rsp = 115^{circ}$, what is $mangle tsu$?
Step1: Identify angle - relationship
$\angle RSP$ and $\angle TSU$ are vertical angles.
Step2: Recall vertical - angle property
Vertical angles are congruent. So $m\angle TSU=m\angle RSP$.
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$115$