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)-七年级数学

题目简介

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)-七年级数学

题目详情

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)
题型:解答题难度:偏易来源:不详

答案

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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