it is known that the sum of the interior angles of a regular polygon is at least 90度 greater than that of its exterior angles.Find the least possible number of sides of the polygon 书上answer是5.还有...要列出不等式啦...
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it is known that the sum of the interior angles of a regular polygon is at least 90度 greater than that of its exterior angles.Find the least possible number of sides of the polygon
书上answer是5.
还有...要列出不等式啦...
x>=360+90=450
即x最小是540,所以是5边形
不等式中的360是因为任意多边形,外角和都是360度,90是题目说的
x是内角和
所以内角和大于等于外交和+90度
没有内角和会等于450,最小的是540
而540正是五边形的内角和
所以是五边形
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