SOLUTION: What is the measure of one exterior angle if the 14-gon is a regular figure?

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Question 532935: What is the measure of one exterior angle if the 14-gon is a regular figure?
Found 2 solutions by oberobic, stanbon:
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the interior angles of a 14-gon = (14-2)*180 = 2160 degrees.
There are 14 vertexes (vertices) for a 14-gon.
It is 'regular' so all these angles are equal.
2160/14 = 154.285 degrees
So the exterior angle of each is 180-154.285 = 21.715 degrees.
To check, 14*21.715 = 360.01 degrees, so that's about right.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the measure of one exterior angle if the 14-gon is a regular figure?
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The sum of the 14 exterior angles is 360 degrees.
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Each ext. angle is 360/14 = 25.71 degrees
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Cheers,
Stan h.