How many sides does a polygon have if the interior angles add up to 2700?

To find the number of sides ( n ) of a polygon given that the sum of its interior angles is 2700 degrees, we can use the formula for the sum of interior angles, which is ( (n - 2) \times 180 ). Setting this equal to 2700 gives the equation ( (n - 2) \times 180 = 2700 ). Solving for ( n ), we find ( n - 2 = 15 ), so ( n = 17 ). Therefore, the polygon has 17 sides.