# SOLUTION: How do I find the sum of the exterior angles of a 20-gon? And the measure of each exterior angle of a 15-gon?

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 Question 119238: How do I find the sum of the exterior angles of a 20-gon? And the measure of each exterior angle of a 15-gon?Found 2 solutions by edjones, bucky:Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!The sum of the exterior angles of any polygon is 360 deg. 360/15=24 deg . Ed Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!The exterior angles of any "n-gon" always add up to 360 degrees. Exterior angles of a triangle? 360 degrees ... Of a rectangle? ... 360 degrees. Of a pentagon? 360 degrees. Of a hexagon? ... 360 degrees ... and so on ... The sum is always 360 degrees. . To get the measure of an exterior angle of a 15-gon, you have to assume that the 15-gon is regular. Otherwise, you can't tell. All that you know is that the sum of the exterior angles is 360 degrees and every exterior angle could have a different measure as long as the total is still 360 degrees. . However, if you assume that the 15-gon is regular, then all the exterior angles (of which there are 15) are equal. That being the case, you get the measure of each exterior angle by dividing 360 degrees by 15 to find that each exterior angle is 24 degrees. . Hope this helps you to understand the concept of exterior angles of an n-gon.