好簡單的求多邊形邊數問題!!!!!!

2008-01-07 2:09 am
好簡單的求多邊形邊數問題!!!!!!
if an exterior angle of a regular n-sided polygon is less than its interior angle by 120度,find the value of n?
(n不是等於6)

回答 (2)

2008-01-07 2:22 am
✔ 最佳答案
let x degree be ab exterior angle
(180 - x) - x = 120
x = 30

360 / n = x = 30
Thus, n = 12
2008-01-07 2:45 am
if an exterior angle of a regular n-sided polygon is less than its interior angle by 120度,find the value of n?
360/n>180(n-2)/n
360>180n-360
720>180n
6>n
THE VALUE OF n can be 3,4 or 5.
參考: MYSELF


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