# SOLUTION: What is the number of sides of a regular polygon if its exterior sides are 36 degrees?

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 Question 289153: What is the number of sides of a regular polygon if its exterior sides are 36 degrees?Answer by CharlesG2(828)   (Show Source): You can put this solution on YOUR website!What is the number of sides of a regular polygon if its exterior sides are 36 degrees? Each exterior angle (supplementary to the interior angle) of a regular polygon has a measure of 360/n degrees, with the sum of the exterior angles equal to 360 degrees or 2π radians or one full turn. 360/n = 36 360 = 36n 10 = n 10 sides