Question

if (\triangle tapcong\triangle xzp), what is the measure of (angle p)?

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle TAP\cong\triangle XZP\), corresponding angles are equal.

Step2: Find the measure of \(\angle P\)

In a triangle, the sum of angles is \(180^{\circ}\). For \(\triangle TAP\), \(\angle T + \angle A+\angle P=180^{\circ}\). But because of congruence \(\angle T=\angle X = 56^{\circ}\), \(\angle A = 96^{\circ}\). Then \(56^{\circ}+96^{\circ}+\angle P=180^{\circ}\).

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Answer:

\(28^{\circ}\)