试题与答案

已知一个多边形的内角和等于1440°，求此多边形对角线的条数．

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题型：解答题

题目：

已知一个多边形的内角和等于1440°，求此多边形对角线的条数．

答案：

解：设多边形的边数为n，

由题意，得：（n﹣2）×180°=1440°，

解得：n=10，

所以，此多边形的对角线的条数为==35．

考点：多边形的内角和和外角和
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