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Two angles are complementary if they both add up to 90 degrees. This means that a complementary angle would have to be negative 23 degrees if the given angle is 113 (-23+113=90) . However I suspect that you are looking for the supplementary angle. Supplementary angles total 180 degrees. If so, the supplement would be 77 degrees.

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Q: What is the complementary angle of 113 degree angle?
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