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Class 9-10, JEE & NEET
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In ΔABC and ΔPQR, ∠A = ∠Q and ∠B =∠R. Which side of ΔPQR should be equal to side AB of ΔABC, so that the two triangles are congruent? Give
reason for your answer.
We have given, in $\triangle A B C$ and $\triangle P Q R, \angle A=\angle Q$ and $\angle B=\angle R$
Since, AB and QR are included between equal angles. Hence, the side of ΔPQR is QR which should be equal to side AB of ΔABC, so that the
triangles are congruent by the rule ASA.