如图,AB=AC,AD=AE,角BAC=角DAE,证∠B=∠C

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如图,AB=AC,AD=AE,角BAC=角DAE,证∠B=∠C

如图,AB=AC,AD=AE,角BAC=角DAE,证∠B=∠C
如图,AB=AC,AD=AE,角BAC=角DAE,证∠B=∠C

如图,AB=AC,AD=AE,角BAC=角DAE,证∠B=∠C
证明:∵∠BAC=∠DAE,
∴∠BAC+∠CAD=∠DAE+∠CAD,
即∠BAD=∠EAC,
在△ABD和△ACE中
 AB=AC ,∠BAD=∠EAC ,AE=AD   ,
∴△ABD≌△ACE.
∴∠B=∠C