關於角度的一條問題.
2008-02-28 4:41 am
In a regular n-sided polygon,the size of an interior angle is nine times that of an exterior angle.Find the value of n.
回答 (2)
2008-02-28 4:52 am
✔ 最佳答案
Each interior angle =(n-2)*180/n
Each exterior angle
=360
Value of n
(n-2)*180/2=360
180n-360=720
180n=1080
n=6
2008-02-29 8:18 am
Angle sum of polygon = (n - 2) x 180 deg.
Angle sum of exterior angles of polygon = 360 deg.
the size of an interior angle is nine times that of an exterior angle
=> Angle sum of polygon is nine times taht of exterior angles
SO, (n - 2) x 180 = 9 x 360
n = 20
Angle sum of exterior angles of polygon = 360 deg.
the size of an interior angle is nine times that of an exterior angle
=> Angle sum of polygon is nine times taht of exterior angles
SO, (n - 2) x 180 = 9 x 360
n = 20
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