在直角三角形ABC中,角B=90度,ED是AC的垂直平分线,交AC于点D,交BC于点E,
已知角BAE=10度,则角C的度数为( )
画个图
人气:172 ℃ 时间:2019-08-18 14:07:44
解答
∵DE是线段AC的中垂线
∴∠EAD=∠C (线段中垂线上的点到两端点的距离相等,或者说三线合一)
又∵∠B=90º
∴在△ABC中,∠BAE+∠EAC+∠C=90º
即:10º+2∠C=90º
∴∠C=40º
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