What is the total sum of the angles in a quadrilateral?

The total sum of the angles in a quadrilateral is 360 degrees. This can be understood through a few different methods. One common approach is to divide the quadrilateral into two triangles. Since the sum of the interior angles in each triangle is 180 degrees, the total for two triangles (which can be formed within a quadrilateral) is 360 degrees.

Additionally, the formula for calculating the sum of the interior angles of any polygon is (n-2) * 180 degrees, where n represents the number of sides. For a quadrilateral, which has four sides, substituting into the formula gives (4-2) * 180 degrees, resulting once again in 360 degrees.

This fundamental property of quadrilaterals is essential in geometry and many applications, including architecture and engineering, where understanding the properties of shapes is critical.