Question

Can the triangle angle sum theorem be true on the surface of a cylinder, sphere, and rectangular prism?​

A)Yes.
B)No.

Answer 1

The triangle angle sum theorem is true on the surface of a cylinder, sphere, and rectangular prism because these shapes can be unfolded into a flat plane.

Step-by-step explanation:

The triangle angle sum theorem states that the sum of the three angles in a triangle is always 180 degrees.

On the surface of a cylinder, sphere, and rectangular prism, the triangle angle sum theorem is still true. The reason is that these shapes can be unfolded into a flat plane, and on that plane, the sum of the angles in a triangle is always 180 degrees. So even though these shapes are three-dimensional, the geometry within them follows the same rules as two-dimensional triangles.