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if ∠tuv and ∠pqr are vertical angles. and m∠tuv is equal to 112°, then …

Question

if ∠tuv and ∠pqr are vertical angles. and m∠tuv is equal to 112°, then what is m∠pqr? m∠pqr = □°

Explanation:

Step1: Recall the property of vertical angles

Vertical angles are equal.

Step2: Apply the property

Since \( \angle TUV\) and \( \angle PQR\) are vertical angles, \( m\angle PQR=m\angle TUV\).
Given \( m\angle TUV = 112^{\circ}\), so \( m\angle PQR=112^{\circ}\).

Answer:

\(112\)