The sum of the interior angles of a convex n-sided polygon is less than 2019°. The
maximum possible value of n is?
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The sum of the interior angles of a convex n-sided polygon is less than 2019°. The
maximum possible value of n is?
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Answer:
Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5. Hence it is a regular pentagon.