# SOLUTION: The sum of the interior angles of a polygon is 8y. If Y is 15 greater than the number of sides of the polygon, how many sides does the polygon have?

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 Click here to see ALL problems on Polygons Question 522948: The sum of the interior angles of a polygon is 8y. If Y is 15 greater than the number of sides of the polygon, how many sides does the polygon have?Answer by stanbon(57377)   (Show Source): You can put this solution on YOUR website!The sum of the interior angles of a polygon is 8y. If Y is 15 greater than the number of sides of the polygon, how many sides does the polygon have? --- Let number of sides be "n": sum of interior angles = (n-2)180 = 8Y y = n+15 --- Substitute for "y" and solve for "n" ----------------------- (n-2)180 = 8(n+15) ---- (n-2)180 = 8n+120 180n-360 = 8n+120 172n = 480 ----- That does not turn out to be a whole number. Please check the wording of your problem. I have some suspicion about that "8Y". ---- Cheers, Stan H. ==============