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

The sum of the interior angles of a quadrilateral is 360 degrees. This can be understood by using the formula for the sum of interior angles of any polygon, which is given by the expression ( (n - 2) \times 180 ), where ( n ) represents the number of sides in the polygon. For a quadrilateral, ( n ) is 4, so the calculation becomes:

[

(4 - 2) \times 180 = 2 \times 180 = 360 \text{ degrees}

]

This property holds true for all types of quadrilaterals, whether they are squares, rectangles, trapezoids, or any other four-sided figure. Thus, regardless of the shape, the sum of all the interior angles within any quadrilateral will always total 360 degrees.