f.2 maths 1題20分

2008-03-18 5:10 am
find the number of sides of a regular polygon if each of its interior angles is 157.5°

回答 (2)

2008-03-18 5:54 am
✔ 最佳答案
Let n be the number of sides of a regular polygon.
(n-2)x180/n=157.5
(180n-360)/n=157.5
180n-360=157.5n
180n-157.5n=360
22.5n=360
n=16
so the number of sides of a regular polygon is 16.
參考: me
2008-03-18 5:14 am
let n be the number of sides,
(n-2)180=157.5n
22.5n=360
n=16


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