如圖所示，AB∥CD，BF平分∠ABE，DF平分∠CDE，∠BFD=55°，求∠BED的度數(shù)．
如圖所示，AB∥CD，BF平分∠ABE，DF平分∠CDE，∠BFD=55°，求∠BED的度數(shù)．
數(shù)學(xué)人氣：395 ℃時(shí)間：2019-12-01 13:06:40
優(yōu)質(zhì)解答
如圖所示，過(guò)點(diǎn)E，F(xiàn)分別作EG∥AB，F(xiàn)H∥AB．∵EG∥AB，F(xiàn)H∥AB，∴∠5=∠ABE，∠3=∠1；又∵AB∥CD，∴EG∥CD，F(xiàn)H∥CD，∴∠6=∠CDE，∠4=∠2，∴∠1+∠2=∠3+∠4=∠BFD=55°．∵BF平分∠ABE，DF平分∠CDE，∴∠ABE=2...
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