SOLUTION: how many side does a regular polygon have if the sum of its interior angles measures 2700

Algebra ->  Polygons -> SOLUTION: how many side does a regular polygon have if the sum of its interior angles measures 2700      Log On


   

Question 239990: how many side does a regular polygon have if the sum of its interior angles measures 2700
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The sum of the interior angles of a convex -gon is given by:

degrees.

So, since you know the sum of the angles (2700) you can say:



Now all you need to do is solve for to get the number of angles which is the same as the number of sides. This works whether the polygon is regular or not.


John