SOLUTION: The interior angle of a regular polygon is 160o how many sides has the polygon

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Question 190904: The interior angle of a regular polygon is 160o how many sides has the polygon
Answer by orca(409) About Me  (Show Source):
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Suppose the polygon has n sides
The sum of the measures of the interior angles of a n-gon is 180%28n-2%29.
As all angles of a regular polygon are equal in measure, the measure of each angle is:
180%28n-2%29%2Fn
Setting it equal to 160, we have
180%28n-2%29%2Fn=160
Solving for n, we have
180%28n-2%29=160n
180n+-+360+=+160n
20n+=+360
n = 18
So it is a 18-gon