SOLUTION: What is one interior angle of a 34 sided regular polygon?

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Question 1015690: What is one interior angle of a 34 sided regular polygon?
Found 3 solutions by ikleyn, fractalier, macston:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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What is one interior angle of a 34 sided regular polygon?
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The sum of interior angles of a 34-sided polygon is (34-2)*180 = 32*180 degrees

Now divide it by 34 to get the answer.




Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The interior angle of an n-sided regular polygon is found by
x = 180(n-2)/n
Thus for n = 34,
x = 180(34-2)/34 = 169.4 degrees

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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n=number of sides
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sum of interior angles=(n-2)(180 degrees)
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interior angle=%28sum_of_interior_angles%29%2Fn
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interior angle=%28%28n-2%29%2Fn%29%28180degrees%29
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interior angle=%28%2834-2%29%2F34%29%28180degrees%29
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interior angle=%280.94%29%28180degrees%29
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interior angle=169.41 degrees