about polygon ~~~urgent

2007-04-01 10:47 pm
Find the number if sudes if a regular polygon if each of its interior angle is 144.
How to find it? Please state all the steps and also write down the answer. Thx~

回答 (1)

2007-04-01 10:54 pm
✔ 最佳答案
Let the regular polygon has n sides
Then its interior angle is
180(n-2)/n
Now interior angle is 144. So we set
180(n-2)/n=144
180(n-2)=144n
180n-360=144n
36n=360
n=10
So this is a 10-sides regular polygon


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