Final answer:
The complement of the angle is 5 degrees, found by setting up and solving the equation x + (x + 80) = 90, where x represents the measure of the complement.
Step-by-step explanation:
The measure of an angle is 80 degrees greater than its complement. Let's denote the measure of the complement as x degrees. By definition, the sum of an angle and its complement is 90 degrees. Therefore, we can set up the equation x + (x + 80) = 90, where x is the complement and x + 80 is the angle itself.
Solving the equation:
2x + 80 = 90
2x = 90 - 80
2x = 10
x = 10 / 2
x = 5 degrees.
Therefore, the measure of the complement is 5 degrees.