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

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) (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,

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