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4500 degrees
Assuming the sum refers to that of the interior angles, the polygon has 27 sides.
A polygon with all interior angles congruent Is known as a regular polygon.
If all of its interior angles are equal then it is a regular polygon
A polygon with n sides has interior angles adding to 180*(n-2) degrees 180*(n - 2) = 4500 n - 2 = 4500/180 = 25 so n = 27