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.
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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.
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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.
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Hope this helps you to understand the concept of exterior angles of an n-gon.
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