如图三角形ABC中BD是角ABC的角平分线DE平行于BC交AB于E角A=60°角BDC=95°求△BDE各内角的度数
2个回答
展开全部
设∠DBC=∠ABD=∠EDB=x
∴∠AED=2x
∴∠ADE=180-x-95=85-x
∴△AED内角和=60+2x+(85-x)=180
解x=35
∴△BDE各内角度数为35°,35°,110°
赞同吾哦!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!
∴∠AED=2x
∴∠ADE=180-x-95=85-x
∴△AED内角和=60+2x+(85-x)=180
解x=35
∴△BDE各内角度数为35°,35°,110°
赞同吾哦!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!! !!!!!!!!!!!!! !!!!!!
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