一个多边形的内角和等于它的外角和的3倍,它是 边形.

一个多边形的内角和等于它的外角和的3倍,它是  边形.

答案

考点

多边形内角与外角.

分析:

根据多边形的内角和公式及外角的特征计算.

解答:

解:多边形的外角和是360°,根据题意得:

180°•n2=3×360°

解得n=8

点评:

本题主要考查了多边形内角和公式及外角的特征.求多边形的边数,可以转化为方程的问题来解决.

 

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