f.2maths~angels in polygon

2009-11-28 2:54 am
In a regular n-sided polygon,the size of an interior angle is 5.5times that of an exterior angle.Find the value of n.
請各位help me!請寫出整條式!

回答 (1)

2009-11-28 3:15 am
✔ 最佳答案
Let exterior angle = x
so interior angle = 5.5x
therefore x + 5.5x = 180 degree
x = 180/6.5
Since sum of exterior angles must be = 360
therefore, (180/6.5)n = 360
n = 6.5(360)/180 = (6.5)(2) = 13.


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