Each exterior angle of a regular polygon is 15 degrees.

How many sides does the polygon have?
and What is the sum of the interior angles?

Since this is not my area of expertise, I searched Google under the key words "polygon angles" to get these possible sources:

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http://library.thinkquest.org/16661/background/polygons.html
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http://www.coolmath.com/interior.htm

Adding "exterior" to the key words gave me these sources:

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http://www.mathopenref.com/polygonexteriorangles.html
http://www.mathsisfun.com/geometry/exterior-angles-polygons.html

I hope this helps. Thanks for asking.

the sum of the exterior angles of a polygon is always 360º

If each of the exterior angles is 15º, there must have been 360/15 or 24 sides.

The sum of the INTERIOR angles is n(180-2)º, where n is the number of sides

so you have a sum of 180(24-2) = 3960º

thanks! awesome help

thanks for the info, i checked out the sites and got the same information that the other person gave to me hehe.

You're welcome! I'm glad you found the information helpful. Don't hesitate to ask if you have any more questions in the future.