题目内容
如图所示,AB∥CD∥EF,BC∥AD.AC平分∠BAD,则图中与∠AGE相等的角有( )

A.3个 | B.4个 | C.5个 | D.6个 |

根据对顶角相等得出∠CGF=∠AGE,
∵AC平分∠BAD,
∴∠CAB=∠DAC,
∵AB∥CD∥EF,BC∥AD,
∴∠CGF=∠CAB=∠DCA,∠DAC=∠ACB,
∴与∠AGE相等的角有∠CGF、∠CAB、∠DAC、∠ABAC,∠DCA,共5个,
故选D.
∵AC平分∠BAD,
∴∠CAB=∠DAC,
∵AB∥CD∥EF,BC∥AD,
∴∠CGF=∠CAB=∠DCA,∠DAC=∠ACB,
∴与∠AGE相等的角有∠CGF、∠CAB、∠DAC、∠ABAC,∠DCA,共5个,
故选D.

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