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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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Solution

The correct option is C equal to CD
In ΔABE and ΔCBD,
1) x=y
So, 180x=180y
AEB=CDB
2) AB = CB .... (Given)
3) CBD=ABE ..... (Common angle) ΔABEΔCBD ..... (AAS criterion for congruency)
AE = CD ..... (CPCT).

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