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

180°

270°

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.

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