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In triangles ABC and CDE, if AC = CE, BC = CD, ∠A= 60°, ∠C = 30° and ∠D = 90°. Are two triangles congruent?

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In triangles ABC and CDE, if AC = CE, BC = CD, ∠A= 60°, ∠C = 30° and ∠D = 90°. Are two triangles congruent?

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Yes, the two given triangles are congruent because AC = CE, BC = CD

And ∠B = ∠D= 90°.

Therefore by SSA criteria triangle ABC is congruent to triangle CDE.

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