如图,在△ABE中,AB=AE,AD=AC,∠BAD=∠EAC,BC、DE交于点O.∠ABC=∠AED;

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如图,在△ABE中,AB=AE,AD=AC,∠BAD=∠EAC,BC、DE交于点O.∠ABC=∠AED;如图,在△ABE中,AB=AE,AD=AC,∠BAD=∠EAC,BC、DE交于点O.∠ABC=∠

如图,在△ABE中,AB=AE,AD=AC,∠BAD=∠EAC,BC、DE交于点O.∠ABC=∠AED;
如图,在△ABE中,AB=AE,AD=AC,∠BAD=∠EAC,BC、DE交于点O.∠ABC=∠AED;

如图,在△ABE中,AB=AE,AD=AC,∠BAD=∠EAC,BC、DE交于点O.∠ABC=∠AED;
∵∠BAD=∠EAC
∴∠BAC=∠EAD
在△ABC和△AED中
AB=AE
∠BAC=∠EAD
AC=AD
∴△ABC≌△AED(SAS)
∴∠ABC=∠AED

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