SOLUTION: The sum of the interior angles of a regular polygon is 3060 degrees. Determine the number of sides of the polygon

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Question 634647: The sum of the interior angles of a regular polygon is 3060 degrees. Determine the number of sides of the polygon
Found 2 solutions by Alan3354, radh:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the interior angles of a regular polygon is 3060 degrees. Determine the number of sides of the polygon
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sum of int angles = 180*(n-2) = 3060
n-2 = 3060/180 = 17
n = 19 sides

Answer by radh(108) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the sum of the interior angles of the formula is sum=180%28n-2%29. In this case, we know the sum instead of the sides. Let's plug that in: 3060=180%28n-2%29.

Now, we have to isolate the variable. Start by dividing out the 180. 17=n-2. Then, add 2 to both sides to take out the -2. 15=n

So, the polygon has 15 sides. I hope this helps!