Question

an angle measures 34° less than the measure of its complementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Set up the equation

Let one angle be \(x\). Its complementary angle is \(90 - x\). Given \(x=(90 - x)-34\).

Step2: Solve the equation

Expand: \(x = 90 - x-34\).
Add \(x\) to both sides: \(x+x=90 - 34\).
\(2x = 56\).
Divide by 2: \(x=\frac{56}{2}=28\).

Step3: Find the complementary angle

Complementary angle is \(90 - 28 = 62\).

Answer:

\(28\) and \(62\)