Q:

In non-Euclidean geometry, triangles on a sphere have.180 degrees.A. exactlyB. less thanc. more than

Accepted Solution

A:
Answer:C. More than.Step-by-step explanation:Given: Non Euclidean geometry.Let us understand the non Euclidean geometry using an example.Example is given belowImagine you start at Earth’s North Pole and walk south until you reach the equator. You then walk directly east until you travel 1/4 of the way around the planet. Finally when you turn back north and return to the North Pole. when you think about it, you wil observe that the path you have traveled is a triangle on the spherical surface of the Earth. And now you find that all three angles of this "triangle" are right angles—so its interior angles add up to [tex]90 \times 3 = 2700.[/tex]Hence we can Say that,"Sum of all interior angle of a triangle on a sphere are always more than 180°."