Question: spherical angle sum theorem : The sum of the measures of the angles of a spherical triangle is greater than 180 and less than 540.

spherical angle sum theorem: The sum of the measures of the angles of a spherical triangle is greater than 180 and less than 540.

Question:theorem 1 (the exterior angle inequality theorem): An exterior angle of a triangle is greater than each of the remote/nonadjacent interior angles of the triangle.

Describe a spherical triangle in spherical geometry that is a counterexample to theorem 1.

Explain how the spherical triangle proves theorem 1 is false in spherical geometry

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