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In spherical trigonometry, the sum of the angles of a triangle on a sphere is always what?

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Greater than 180 degrees

On a curved surface like a sphere, triangles have an 'spherical excess'. The sum of angles ranges from just over 180 degrees to 540 degrees, depending on the triangle's size relative to the sphere.

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  • In spherical trigonometry, what is true about the sum of the angles of any triangle on a sphere?

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