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If the sum is not 180° you are not in Euclidean space.

If the three angles of a triangle add up to more than 180° then you are in a spherical space, if the sum is less than 180° it is a hyperbolic space.The internal angles of a planar (Euclidean) triangle always add up to 180 degrees.

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Q: When do the angles in a triangle not add up to 180 degrees?
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