Question

an angle measures 80.6° more than the measure of its complementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Define the variables

Let one angle be $x$. Its complementary angle is $90 - x$.

Step2: Set up the equation

The problem states that $x=(90 - x)+80.6$.

Step3: Solve the equation

First, expand the right - hand side: $x = 90 - x+80.6$.
Then, add $x$ to both sides: $x+x=90 + 80.6$.
Combining like terms gives $2x=170.6$.
Divide both sides by 2: $x=\frac{170.6}{2}=85.3$.

Step4: Find the complementary angle

The complementary angle is $90 - x=90 - 85.3 = 4.7$.

Answer:

$85.3$ and $4.7$