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A bearded old man with flying reindeer flies in a triangular pattern starting at the NorthPole, then directly south to City A on the equator, then straight West to City B which isalso on the equator, and lastly straight North back to the North Pole where he can finallyget some rest.Given that the shape of the Earth can be approximated by spherical geometries, which ofthese is a possible sum of the 3 angles formed by this triangle?

A bearded old man with flying reindeer flies in a triangular pattern starting at the-example-1

1 Answer

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EXPLANATION :

From the problem, since the Earth can be approximated by spherical geometries, the triangle that we will form is a spherical triangle.

Note that the sum of the angles in a spherical triangle is greater than 180 degrees.

From the options, the only angle that's greater than 180 degrees is 185 degrees.

ANSWER :

D. 185 degrees

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