Final answer:
To find the measures of two complementary angles, we can set up an equation and solve for one of the angles.
Step-by-step explanation:
To solve this problem, we need to understand that complementary angles add up to 90°. Let's assume that one angle measures x degrees. According to the problem, the other angle measures 14° more than the measure of its complementary angle, which is (90 - x) degrees. So, our equation is x = (90 - x) + 14°. Simplifying this equation, we get 2x = 104°. Dividing both sides by 2, we find that x = 52°. Therefore, one angle measures 52° and the other angle measures 90 - 52 = 38°.