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Question

In the given figure, 1=2 and ACBD=CBCE.

Prove that ΔACBΔDCE.

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Solution

∠1 = ∠2 (Given)

AC/BD=CB/CE

⇒ AC/CB=BD/CE (Given)

Also, ∠2 = ∠1

Thus, AC/CB=BD/CE
and ∠2 = ∠1

Therefore, by SAS similarity criterion
ΔACB ~ ΔDCE


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