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a. Provide a convincing argument that the sum of the angles of a hyperbolic triangle is less than 180 . b. How small can the

a. Provide a convincing argument that the sum of the angles of a hyperbolic triangle is less than 180.

b. How small can the sum of the angles of a hyperbolic triangle be? Justify your answer!
c. Given two points in spherical geometry, is there a unique straight line between them? Justify your answer!
d. For each of Euclids postulates, explain whether it is satisfied in spherical geometry.

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