F.2 Maths (急)
2008-03-06 4:54 am
Each interior angle of a regular polygon is 108(度) more than each exterior angle. How many sides are there in this polygon?
回答 (1)
2008-03-06 7:18 am
✔ 最佳答案
Each exterior angle of a regular polygon = 360/nEach interior angle of a regular polygon = 180(n-2)/n
If each interior angle of a regular polygon is 108(度) more than each exterior angle,
180(n-2)/n - 360/n = 108
180n - 720 = 108n
72n = 720
n = 10
Therefore, the polygen have 10 sides.
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