SOLUTION: if the sum of the measures of the interior angles of a polygon is 1980 degrees, how many sides does it have? How do I do this? Is there a formula? Thanks!

Algebra ->  Polygons -> SOLUTION: if the sum of the measures of the interior angles of a polygon is 1980 degrees, how many sides does it have? How do I do this? Is there a formula? Thanks!      Log On


   

Question 1015370: if the sum of the measures of the interior angles of a polygon is 1980 degrees, how many sides does it have?
How do I do this? Is there a formula?
Thanks!
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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n=number of sides; S=sum of interior angles
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S = 180(n-2)
S/180=n-2
(S/180)+2=n
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(1980/180)+2=n
11+2=n
13=n
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ANSWER: The polygon has 13 sides.
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