In attemopt to understand basic principles of non-Euclidean geometry and its relation to physical space, I am reading General Relativity by Ben Crowell. On page 149 there is a discussion of hexagons on a surface of sphere which I don't understand. He writes (caption for image attached):
"Because the space is locally Euclidean, the sum of the angles at a vertex has its Euclidean value of 360 degrees. The curvature can be detected, however, because the sum of the internal angles of a polygon is greater than the Euclidean value. For example, each spherical hexagon gives a sum of 6 x 124.31 degrees, rather than the Euclidean 6 x 120. The angular defect of 6 x 4.31 degrees is an intrinsic measure of curvature."
As three identical angles meet at the vertex and their sum is 360 degrees, one third of which is 120 degrees, how could the angle be 124.31?