Indiana Pacers star Paul George travels too much to be a childâs primary caregiver, paternity suit claims. Indiana Pacers All-Star Paul George is unfit to be a childâs primary caregiver because his NBA lifestyle has him on the road frequently, a Queens woman claims in a paternity suit against him. (Andy Lyons/Getty Images)
its interior angles add up to 3 Ã 180Â° = 540Â°. And if it is a regular pentagon (all angles the same), then each angle is 540Â° / 5 = 108Â°. (Exercise: make sure each triangle here adds up to 180Â°, and check that the pentagon's interior angles add up to 540Â°) The Interior Angles of a Pentagon add up to 540Â°.
The sum of the exterior angles of a convex octagon is 360. Solution: If you were to take any vertex of an octagon and draw an edge to every other vertex, it will create 6 triangles. As we know, in Euclidean geometry, the sum of the interior angles of a triangle is always 180. Thus the sum of the interior angles of an octagon 6 * 180 = 1080. Furthermore, because it's a regular octagon all the angles are congruent. Thus you can take 1080 and divide by the number of angles(8) and get 135 as the sum of each interior angle. Because the interior angle is linear to the exterior of that angle both the interior and exterior add to 180. Therefore, the exterior angle is equal to 180-135 = 45.