摘要:6.如图:AB∥CD.直线EF分别交AB.CD于E.F.EG平分∠BEF.若∠1=72°,则∠1=72°,则∠2= .
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解:因为AB∥CD
所以∠1=
∠AEG
∠AEG
,∠2=∠AEF
∠AEF
因为EG平分∠AEF
所以∠GEF=
∠AEG
∠AEG
所以∠1=
∠AEG
∠AEG
=∠GEF又因为∠1=40° 所以∠1=∠AEG=∠GEF=
40°
40°
所以∠AEF=
80°
80°
即∠AEF=∠2=
80°
80°
.