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

Question 289153: What is the number of sides of a regular polygon if its exterior sides are 36 degrees?
Answer by CharlesG2(834) (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

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