已知:如图所示,AB=AC,BD=CE,AD=AE,求证∠BAC=∠DAE
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已知:如图所示,AB=AC,BD=CE,AD=AE,求证∠BAC=∠DAE
证明:
∵AB=AC,BD=CE,AD=AE
∴△ABD≌△ACE(SSS)
∴∠BAD=∠CAE
∴∠BAC=∠BAD+∠DAC=∠CAE+∠DAC=∠DAE
证毕.
∵AB=AC,BD=CE,AD=AE
∴△ABD≌△ACE(SSS)
∴∠BAD=∠CAE
∴∠BAC=∠BAD+∠DAC=∠CAE+∠DAC=∠DAE
证毕.
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