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

解析:略

 

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