Question

an angle measures 26° more than the measure of its complementary angle. what is the measure of each angle?

Explanation:

Step1: Define the variables

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

Step2: Set up the equation

The given condition is $x=(90 - x)+26$.

Step3: Solve the equation

First, expand the right - hand side: $x = 90 - x+26$. Then, add $x$ to both sides: $x+x=90 + 26$. So, $2x=116$. Divide both sides by 2: $x = 58$.

Step4: Find the complementary angle

The complementary angle is $90 - 58=32$.

Answer:

58, 32