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The sum of the interior angles of a quadrilateral is 360 degrees. This is determined by the formula for calculating the sum of the interior angles of any polygon, which is given by the formula (n - 2) × 180 degrees, where n is the number of sides of the polygon.

In the case of a quadrilateral, it has four sides, so substituting 4 into the formula yields (4 - 2) × 180 degrees = 2 × 180 degrees = 360 degrees. This means that all four angles inside any quadrilateral add up to 360 degrees, making it an important concept in geometry related to shapes with four sides.