How can I prove that the sum of the angles in an octagon is always 1080 degrees using geometric principles?

Answer 1

Bradley Herrera

To prove the sum of the angles in an octagon is 1080 degrees, divide the octagon into six triangles. Each triangle has a sum of angles equal to 180 degrees. Thus, 6 triangles x 180 degrees/triangle = 1080 degrees. Therefore, the sum of the angles in an octagon is always 1080 degrees.