In the given figure, if x = y and AB = CB, then AE is _____.
equal to CD
Consider ΔABE and ΔCBD.
Given, x = y.
⟹180∘−x=180∘−y
∴∠CDB=∠AEB
AB = CB (Given)
∠CBD=∠ABE (∵common angle of ΔABE and ΔCBD)
So, ΔABE≅ΔCBD (by A.A.S. congruence criterion)
∴AE=CD (CPCT)