SOLUTION: find the number of degrees in an interior angle, a central angle, and an exterior angle of the regular polygon named. Hexagon. I really do not have a clue what I am doing here.

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Question 214306: find the number of degrees in an interior
angle, a central angle, and an exterior angle of the regular
polygon named. Hexagon. I really do not have a clue what I am doing here.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the interior angle, the central angle, and the exterior angle of a regular hexagon.
A hexagon is a polygon having six sides.
The interior angle of a regular polygon of n sides is given by:
A%5Bi%5D+=+%28n-2%29%28180%29%2Fndegrees.
In this problem, n = 6, so...
A%5Bi%5D+=+%286-2%29%28180%29%2F6degrees. Evaluate.
A%5Bi%5D+=+4%28180%29%2F6
A%5Bi%5D+=+360%2F3
A%5Bi%5D+=+120degrees.
The exterior angle is just the supplement of the interior angle, so...
A%5Be%5D+=+180-A%5Bi%5D
A%5Be%5D+=+180-120
A%5Be%5D+=+60degrees.
The central angle is:
A%5Bc%5D+=+360%2Fn
A%5Bc%5D+=+360%2F6
A%5Bc%5D+=+60