Final answer:
To find the measure of each angle, we can set up an equation and solve for the unknown angle. The angle is approximately 52 degrees and its complementary angle is approximately 38 degrees.
Step-by-step explanation:
To solve this problem, we need to set up an equation based on the given information.
Let's assume the measure of the angle is x degrees. The measure of its complementary angle would be 90 - x degrees.
The problem states that the angle measures 14.2 degrees more than its complementary angle, so we can set up the equation x = (90 - x) + 14.2.
Simplifying this equation, we get 2x = 104.2.
Dividing both sides by 2, we find that x is approximately 52.
Therefore, the measure of the angle is approximately 52 degrees and the measure of its complementary angle is approximately 38 degrees.