Final answer:
The complementary angles in the problem are 9 degrees and 81 degrees. This is found by setting up and solving an equation based on the given problem.
Step-by-step explanation:
In mathematics, the term complementary angles refers to two angles whose sum is 90 degrees. In the given problem, it is stated that an angle measures 72 degrees more than its complementary angle. This can be translated into a simple algebraic equation. If the measure of the complementary angle is x, then the other angle, which is 72 degrees more, can be expressed as x + 72. Since they are complementary angles, their sum is 90 degrees. So, you can write the equation as x + (x + 72) = 90. Solving this equation gives x = 9. Therefore, the angles are 9 degrees and 81 degrees (9 + 72).
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