# SOLUTION: The measure of an exterior angle of a polygon is 20 degrees. Find the number of sides

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 Question 560488: The measure of an exterior angle of a polygon is 20 degrees. Find the number of sidesAnswer by solver91311(17074)   (Show Source): You can put this solution on YOUR website! Not enough information. The total of the measures of the external angles of any polygon is 360 degrees, but without knowing that this is a regular polygon, just knowing that one of the exterior angles measures 20 degrees doesn't tell you anything about the measures of the rest of them. On the other hand if it is a regular polygon, then you know that all of the external angles are the same so you just divide 360 by 20. John My calculator said it, I believe it, that settles it