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The sum of the internal angles of a Euclidian (planar) triangle is 180 degrees, or PI radians. An obtuse angle is greater than 90 degrees or PI/2 radians. Therefore, there is not enough angle for two obtuse internal angles.

For example, if a triangle has one angle of 91 degrees, then it has 180-91=89 degrees left for the other angles, which is not enough for another obtuse angle.

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