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In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of △PQR should be equal to side AB of △ABC so that the two triangles are congruent? Give reason for your answer.

Triangles

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Answer

Given in triangles ABC and PQR,

∠A = ∠Q,

∠B = ∠R,

So, AB should be equal to QR. That will make, △ABC ≅ △QRP by ASA axiom.

Hence, AB = QR for △ABC ≅ △QRP by ASA axiom.

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