An obtuse angle in mathematics is defined as an angle that measures more than 90 degrees but less than 180 degrees. Therefore, the sum of an obtuse angle and a complementary angle (which would be an acute angle) can vary, but the obtuse angle itself does not have a specific sum. In a triangle, the sum of all interior angles is always 180 degrees, meaning an obtuse angle must be combined with two acute angles to maintain this total.
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