Question

The figure shows a triangle that was drawn on the surface of a sphere. What does the figure illustrate about the sum of the measures of the three angles in a trianglein elliptic geometry?The sum of the measures of the three angles is

Answer 1

The triangle is called a spherical triangle.

The sum of the measures of thethree angles of the triangle is between 1800° and 540° (π and 3π radians). The amount by which the sum exceeds 180° is referred to as the spherical excess.