题目内容

已知:如图,AB∥CD,EF交AB于G,交CD于F,FH平分∠EFD,∠EFD=1000

求:∠AHF,∠AGE的度数。(10分)
解:∵FH平分∠EFD,∠EFD=1000
                                                                                                 
                                ∴∠EFH=∠HFD=∠EFD=500
                                                                                                  ∵AB∥CD
∴∠AHF=∠HFD=500
                                                                                                             ∠AGE=∠CFE
∵∠CFE=1800——∠EFD=800
∴∠AGE=800
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