如图,已知AB=DC,AC=DB,△ABC≌△DCB,求证:∠ABD=∠DCA

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如图,已知AB=DC,AC=DB,△ABC≌△DCB,求证:∠ABD=∠DCA
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如图,已知AB=DC,AC=DB,△ABC≌△DCB,求证:∠ABD=∠DCA
如图,已知AB=DC,AC=DB,△ABC≌△DCB,求证:∠ABD=∠DCA

如图,已知AB=DC,AC=DB,△ABC≌△DCB,求证:∠ABD=∠DCA
∵△ABC≌△DCB
∴∠A=∠D
∵∠AEB=∠DEC(对顶角相等)
AB=DC
∴△AEB≌△DEC
∴∠ABD=∠DCA