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Question

In the given figure, 1=2 and ACBD=CBCE.
Prove that ∆ ACB ∼ ∆ DCE.

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Solution

We have:
ACBD = CBCEACCB = BDCEACCB = CDCE (Since, BD= DC as 1 = 2)Also, 1 = 2i.e, DBC = ACBTherefore, by SAS similarity theorem, we get:ACB~DCE

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