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What is the sum of the interior angles of a quadrilateral?

  1. 180°

  2. 270°

  3. 360°

  4. 540°

The correct answer is: 360°

The sum of the interior angles of a quadrilateral is 360°. This can be understood by recalling the general formula for the sum of the interior angles of any polygon, which is given by the formula (n - 2) × 180°, where n is the number of sides in the polygon. For a quadrilateral, which has four sides (n = 4): - Applying the formula, we find the sum of the interior angles to be (4 - 2) × 180° = 2 × 180° = 360°. This sum represents the total measure of the angles contained within the quadrilateral, regardless of the shape (whether it is a square, rectangle, trapezoid, or any other four-sided figure). Understanding this concept helps clarify why the answer is 360° and reinforces the consistent relationship between the number of sides in a polygon and the sum of its interior angles.