In a closed (spherical)universe,the sum of the angles in a triangle is: A)180 degrees B)180 degrees E)240 degrees

Question

In a closed (spherical)universe,the sum of the angles in a triangle is:
A)180 degrees
B)<180 degrees
C)120 degrees
D) >180 degrees
E)240 degrees

Quizplus · Accepted Answer

In a closed (spherical) universe, the sum of the angles in a triangle is greater than 180 degrees. This is because such a universe has positive curvature, and therefore, the sum of the angles in a triangle would be greater than the 180 degrees found in planar Euclidean geometry. In fact, the sum of the angles in a triangle would be directly proportional to the size of the triangle, and would increase as the size of the triangle increased.

In a Closed (Spherical)universe,the Sum of the Angles in a Triangle