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Question

In the given figure, if x = y and AB = CB, then AE is _____.


A

less than CD

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B

greater than CD

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C

equal to CD

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D

Can't be determined

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Solution

The correct option is C

equal to CD


Consider ΔABE and ΔCBD.
Given, x = y.
180x=180y
CDB=AEB
AB = CB (Given)
CBD=ABE (common angle of ΔABE and ΔCBD)
So, ΔABEΔCBD (by A.A.S. congruence criterion)
AE=CD (CPCT)


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