Question

an angle measures 56° 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

We know that $x=(90 - x)+56$.

Step3: Solve the equation

First, expand the right - hand side: $x = 90 - x+56$.
Then, add $x$ to both sides: $x+x=90 + 56$.
Combining like terms gives $2x=146$.
Divide both sides by 2: $x=\frac{146}{2}=73$.

Step4: Find the complementary angle

The complementary angle is $90 - x=90 - 73 = 17$.

Answer:

73, 17