如图,□ABCD中,∠C=108°,BE平分∠ABC,则∠AEB= (▲) A.18° B.36° C.72° D.108

日期:2016-03-09 07:37:40 人气:1

如图,□ABCD中,∠C=108°,BE平分∠ABC,则∠AEB= (▲) A.18° B.36° C.72° D.108

B ∵AB∥CD,∴∠ABC+∠C=180°,把∠C=108°代入,得∠ABC=180°-108°=72°.又∵BE平分∠ABC,∴∠ABE=12∠ABC=12?72°=36°.故选B.
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