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, 180∘−∠x=180∘−∠y ∴∠AEB=∠CDB 2) AB = CB .... (Given) 3) ∠CBD=∠ABE ..... (Common angle) ∴ΔABE≅ΔCBD ..... (AAS criterion for congruency) ⇒AE = CD ..... (CPCT).