In $△ A B C$ and $△ X Y Z$ , if BC = YZ, $∠ A B C = ∠ X Y Z$ and $∠ A C B = ∠ X Z Y,$ , then by which postulate is $△ A B C ≅ △ X Y Z$ ?

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Solution

In $△ A B C$ and $△ X Y Z$ ,

(i) $∠$ ABC = $∠$ XYZ ......(given)

(ii) BC = YZ ......(given)

(iii) $∠$ ACB = $∠$ XZY ......(given)

$\Rightarrow △ A B C ≅ △ X Y Z$ ......(ASA Postulate)

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