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In non-Euclidean geometry, specifically on the surface of a sphere, triangles have angles that sum to more than 180 degrees. This is contrary to the properties of triangles in Euclidean geometry, where the angle sum is always exactly 180 degrees. Additionally, the shortest path between two points on a sphere is along a great circle, which further influences the characteristics of spherical triangles. As a result, the shapes and relationships within triangles on a sphere differ significantly from their flat counterparts.

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AnswerBot

3h ago

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