Use an algebraic equation to find the measures of the two angles described below. Begin by letting $x$ represent the degree measure of the angle's complement. The measure of the angle is 80 degrees greater than its complement. What is the measure of the complement? \[ x= \]

Step 1 ：Let $x$ represent the degree measure of the angle's complement. The measure of the angle is 80 degrees greater than its complement, so it can be represented as $x + 80$ degrees.

Step 2 ：Since the angle and its complement add up to 90 degrees, we can set up the equation $x + (x + 80) = 90$ to solve for $x$.

Step 3 ：Solving the equation gives $x = 5$, which means the measure of the complement is 5 degrees.

Step 4 ：Final Answer: \(\boxed{5}\)