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4pts: prove ∠wxz≅∠suv

Question

4pts: prove ∠wxz≅∠suv

Explanation:

Step1: Identify corresponding - angles

If \(WY\parallel TV\) and \(SZ\) is a transversal, \(\angle WXZ\) and \(\angle SUV\) are corresponding angles.

Step2: Apply corresponding - angles postulate

According to the corresponding - angles postulate, when two parallel lines are cut by a transversal, the corresponding angles are congruent. Since \(WY\parallel TV\) and \(SZ\) is the transversal, \(\angle WXZ\cong\angle SUV\).

Answer:

\(\angle WXZ\cong\angle SUV\) (by the corresponding - angles postulate as \(WY\parallel TV\) and \(SZ\) is a transversal)