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Question
if $overleftrightarrow{pr}$ and $overleftrightarrow{su}$ are parallel lines and $mangle stq = 66^{circ}$, what is $mangle rqo$?
Step1: Identify angle - relationship
$\angle STQ$ and $\angle RQO$ are corresponding angles.
Step2: Apply parallel - lines property
For parallel lines $PR$ and $SU$, corresponding angles are equal. So $m\angle RQO=m\angle STQ$.
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$66$