one maths question......

2007-08-15 10:57 pm
If each interior angle of a regular n-gon is 5 times each of its exterior angle, find
the value of n.

回答 (2)

2007-08-18 11:50 pm
✔ 最佳答案
Let d degres be the exterior anlge.
Recall external angle law:
exterior anle + interior angle = 180
d + 5d = 180
d = 30
Recall sum of all the exterior angles on a polygon is 360º.
30 * n = 360
n = 36 (Ans.)

I have tried my best to help you.

2007-08-18 22:28:49 補充:
Correction:30 * n = 360n = 12 (Ans.)
2007-08-16 12:33 am
Recall interior angle + exterior angle = 360 degrees
tus, n + 5n = 360
n = 60 (degrees)

Hope can help.

2007-08-15 18:53:07 補充:
For a n-gon having an interior anlge of 60 degrees,it is a an equilateral triangle (that is 3 條邊)See: http://en.wikipedia.org/wiki/Equilateral_triangle

2007-08-17 17:22:22 補充:
幫到你嗎?


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