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?
\[
x=
\]

Answer

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Answer

Final Answer: $\boxed{5}$

Steps

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: $\boxed{5}$

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?\[x=\]

Answer

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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?
\[
x=
\]