SOLUTION: If the sum of the vertex angles of a polygon is 540 degres, than it is called what?

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Question 410597: If the sum of the vertex angles of a polygon is 540 degres, than it is called what?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the formula for the sum (S) of the interior (vertex) angles of a polygon of n sides:
S+=+%28n-2%29%2A180 and this is given as 540 degrees, so...
540+=+%28n-2%29%2A180 Divide both sides by 180.
3+=+n-2 Add 2 to both sides.
5+=+n
A five-sided plolygon is called a pentagon.