SOLUTION: a regular polygon has n sides. The sum of the interior angles of the polygon is 1260 degrees. find the number of degrees in each interior and exterior angle of this polygon. Also

Question 196331: a regular polygon has n sides. The sum of the interior angles of the polygon is 1260 degrees. find the number of degrees in each interior and exterior angle of this polygon. Also how sides does it have?

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for the sum of the interior angles of a polygon with n sides:
In the problem, this sum is given as 1260 degrees, so...
Divide both sides by 180
Add 2 to both sides.
The polygon has 9 sides (Called a nonagon)
The size of each interior angle of a regular polygon is given by: , so...

degrees.
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