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

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) (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) (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?
-----
The sum of the 14 exterior angles is 360 degrees.
---
Each ext. angle is 360/14 = 25.71 degrees
=====================
Cheers,
Stan h.
RELATED QUESTIONS
What is the measure of an exterior angle of a regular 32-gon polygon? (answered by Alan3354)
what is the measure of each exterior angle of a regular 56-gon? (answered by Alan3354)
What is the measure of each exterior angle of a regular... (answered by greenestamps,750033275)
what is the exterior angle measure for a regular... (answered by richwmiller)
To the nearest degree what is the measure of each exterior angle of a regular... (answered by richard1234)
The measure of each exterior angle of a regular n-gon is 18°. A) Find the value of n. (answered by ikleyn,MathLover1,Alan3354)
What is the measure of one angle of a regular convex... (answered by stanbon,Alan3354)
What is the measure of one interior angle of a regular... (answered by Alan3354)
What is the measure of an exterior angle of a regular 15-gon? and What is the sum... (answered by Alan3354)