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Question
if $\angle tuv$ and $\angle pqr$ are vertical angles, and $m\angle tuv$ is equal to $112^\circ$, then what is $m\angle pqr$?
$m\angle pqr = ?^\circ$
Step1: Recall vertical angles property
Vertical angles are equal.
Step2: Apply the property
Since $\angle TUV$ and $\angle PQR$ are vertical angles, $m\angle PQR = m\angle TUV$.
Step3: Substitute the given value
$m\angle TUV = 112^\circ$, so $m\angle PQR = 112^\circ$.
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