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在研究多边形的问题时,由于存在着许多不确定的因素,所以在具体求解时需要及时地将问题进行转换.现举例说明.一、内角与外角的转换例1某多边形的每一个内角都等于150°,求这个多边形的内角和.分析:多边形的每一个内角都等于150°.根据内角与外角互为补角,因而可以求出外角的度数.再根据任何多边形的外角和都是360°,用360除以外角的度数就可以求出多边形的边数,从而求出内角和.
In the study of the problem of polygons, due to the existence of many uncertain factors, so in the specific solution need to be timely conversion of the problem.For example, the transformation of the inner corner and outer corner Example 1 polygon of each angle is equal to 150 °, find the interior angle of the polygon. Analysis: Each polygon’s interior angle is equal to 150 ° .According to the internal angle and external angle complement each other, which can be calculated outside the angle. According to any polygon outer angle and are 360 ° , Divided by 360 degrees outside the angle can be calculated polygon edge number, and thus find the interior angle and.