SOLUTION: One exterior angle of a regular polygon measures 36 degrees. What is the sum of the polygons interior angle measure

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Question 461255: One exterior angle of a regular polygon measures 36 degrees. What is the sum of the polygons interior angle measure
Answer by Gogonati(855) About Me  (Show Source):
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Since the interior angle is 36 degree then the interior angle is 180-36=144 degree
The sum of the interior angles of this polygon is :%28n-2%29180=n%2A144, where n
is the number of angles of the polygon. Solving the last equation we get n=10,
thus we deal with a decagon, where the sum of the interior angles is:
%2810-2%29%2A180=8%2A180=1440degree.