SOLUTION: If the sum of the interior angles of a regular polygon measures upto 1440 degree, how many sides does the polygon have..?

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Question 1119564: If the sum of the interior angles of a regular polygon measures upto 1440 degree, how many sides does the polygon have..?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the formula for the sum of the interior angles of a regular polygon is:

S = (n-2) * 180.

when S = 1440, the formula becomes:

1440 = (n-2) * 180.

divide both sides of this equation by 180 to get:

1440/180 = n - 2

solve for n to get n = 1440/180 + 2 = 10.

the polygon has 10 sides.

it's a decagon.