SOLUTION: hi1 please help me with this.thanks for anyhelp coming this way The sum of the interior angles of a polygon is 2340 degrees. How many sides does the polygon have?? i know it

Algebra ->  Polygons -> SOLUTION: hi1 please help me with this.thanks for anyhelp coming this way The sum of the interior angles of a polygon is 2340 degrees. How many sides does the polygon have?? i know it      Log On


   

Question 119780: hi1
please help me with this.thanks for anyhelp coming this way
The sum of the interior angles of a polygon is 2340 degrees. How many sides does the polygon have??
i know its 15 sides buth in need a solution for it .
Found 2 solutions by scott8148, jim_thompson5910:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the interior angles of an n sided polygon is 180°(n-2)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, the sum of the interior angles of any polygon is:180%28n-2%29=S where S is the sum and n is the number of sides


180%28n-2%29=S Start with the given equation


180%28n-2%29=2340 Plug in S=2340



180n-360=2340 Distribute


180n=2340%2B360Add 360 to both sides


180n=2700 Combine like terms on the right side


n=%282700%29%2F%28180%29 Divide both sides by 180 to isolate n



n=15 Divide

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Answer:
So our answer is n=15


So this polygon has 15 sides.