Friday, November 11, 2011

How can you find the number of sides in a regular star polygon given the measure of one interior angle?

Interior angle - The sum of the interior angles of a simple n-gon is (n−2)π radians or (n−2)180 degrees. This is because any simple n-gon can be considered to be made up of (n−2) triangles, each of which has an angle sum of π radians or 180 degrees. The measure of any interior angle of a convex regular n-gon is (n−2)π/n radians or (n−2)180/n degrees.

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