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Suppose the polygon has n sides. Then n*(n-3)/2 = 54 or n*(n-3) = 108 and so, by inspection, n = 12 or you can multiply out the brackets and solve the quadratic equation in n.
It is abs(54 - 7*n) or |54 - 7*n|
75 n
Sum of degrees of angles in a n-gon = (n-2)*180 degrees, where n = sides nona- = 9 sides, so n = 9 (9-2)*180 degrees = 1260 degrees. 1260 degrees total/9 sides = 140 degrees per side
(n - 2) times 180 degrees. Triangle: n=3, n-2=1 ===> 180 degrees Square: n=4, n-2=2 ===> 360 degrees etc.