SOLUTION: The sum of the interior angles of a polygon with (3x-1) sides is 24 right angles. Find x and hence the number of sides of the polygon

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Question 770043: The sum of the interior angles of a polygon with (3x-1) sides is 24 right angles.
Find x and hence the number of sides of the polygon
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Count of Sides________Total Interior Degrees
3_____________________180
4_____________________360
5_____________________180*3
6_____________________180*4
.
n_____________________180*(n-2)


Your polygon has 24*90 degrees for sum of interior angles, which is 2160 degrees. According to the pattern shown relating the count of sides to the sum of the interior angles, highlight%28180%2A%28%283x-1%29-2%29=2160%29

All that needs to be done now is just pump out the answer for x.