Answer :
Final answer:
A complementary angle to a 56-degree angle is 34 degrees, and a supplementary angle to a 56-degree angle is 124 degrees.
Explanation:
The measure of a complementary angle is the difference between 90 degrees and the given angle. So, the complement of a 56-degree angle would be 90 - 56 = 34 degrees. This means a 34-degree angle is complementary to a 56-degree angle.
On the other hand, the measure of a supplementary angle is the difference between 180 degrees and the given angle. Therefore, the supplement of a 56-degree angle would be 180 - 56 = 124 degrees. Thus, a 124-degree angle is supplementary to a 56-degree angle.
So, referring to the multiple-choice options given, the correct answer would be: Complementary angle: 34 degrees, Supplementary angle: 124 degrees.
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