The sum of the interior angles of a polygon can be calculated using the formula ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides. To find the number of sides for a polygon whose interior angles add up to 5400 degrees, we set up the equation: ( (n - 2) \times 180 = 5400 ). Solving for ( n ), we find ( n - 2 = 30 ), leading to ( n = 32 ). Thus, a polygon with 32 sides has interior angles that sum to 5400 degrees.
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