In triangle ABC, angles A and B are sharp, and angle C is obtuse.

In triangle ABC, angles A and B are sharp, and angle C is obtuse. What degree should the sum of the angles A and B not exceed so that corner C was obtuse.

If, according to the condition of the problem, angle C in triangle ABC is obtuse, then this means that its degree measure exceeds 90 degrees. Since the sum of the angles of any triangle is 180 degrees, the sum of the angles A and B must be strictly less than 90 degrees.



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