What is the sum of interior angles in a quadrilateral?

The sum of the interior angles in a quadrilateral is 360 degrees. This can be understood by recalling that a quadrilateral can be divided into two triangles. Each triangle has a sum of interior angles equal to 180 degrees. Therefore, when you add the angles from both triangles, you have:

180 degrees (first triangle) + 180 degrees (second triangle) = 360 degrees.

This is a fundamental property of polygons, where the formula for calculating the sum of interior angles is given by the formula (n - 2) × 180 degrees, with n being the number of sides. For a quadrilateral, n equals 4, leading to (4 - 2) × 180 = 2 × 180 = 360 degrees. Hence, the answer is indeed 360 degrees. This property is essential for understanding the geometry of quadrilaterals and helps in solving various geometric problems involving these shapes.