Question

Is the triangle angle sum theorem true on the surface of a sphere?

Answer 1

Yes, the triangle angle sum theorem is true on the surface of a sphere. However, the sum of the angles in a triangle on a sphere will be greater than 180 degrees.

Step-by-step explanation:

Yes, the triangle angle sum theorem is true on the surface of a sphere. However, the sum of the angles in a triangle on a sphere will be greater than 180 degrees. On a sphere, the sum of the angles in a triangle will depend on the surface curvature. The larger the surface curvature, the greater the sum of the angles will be. This can be demonstrated using spherical geometry.

Answer 2

No.

Step-by-step explanation:

The sum of the angles is in excess of 180 degrees,

Depending on the triangle the sum is between 180 and 540 degrees.