How To Add Up All Of The External Angles?

The Sum of Exterior Angles Formula states that the sum of all exterior angles of any polygon is 360 degrees. An exterior angle is the angle between a side and its adjacent extended side. A polygon has n sides, and the exterior angle of a triangle is equal to the sum of the two opposite interior angles (remote interior angles). This is also known as the Exterior Angle theorem.

The sum of exterior angles in a polygon is always 360∘ 360∘ regardless of the number of sides the polygon has. The formula for the sum of exterior angles is a + b + c + d + e = 5 – sum of interior angles.

For every polygon, its interior angle sums will always be 180° × (n-2). The sum of exterior angles for a polygon is a single exterior angle, and this knowledge can be used to solve problems.

For example, n exterior angles = n x 180 – (n-2) 180 = 2 x 180 = 360 degrees. Therefore, the sum of all exterior angles is 360 degrees, irrespective of nu.

In conclusion, the Sum of Exterior Angles Formula is a useful tool for finding the sum of interior and exterior angles of various shapes, such as polygons, pentagons, hexagons, and triangles. By understanding the statement, proof, and examples, one can apply this formula to find the sum of interior and exterior angles of various shapes.