Question

an angle measures 88° less than the measure of its complementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Set up the equation

Let the angle be \(x\). Its complementary angle is \(90 - x\). Given \(x=(90 - x)-88\).

Step2: Solve the equation

Expand the right - hand side: \(x = 90 - x-88\).
Combine like terms: \(x+x=90 - 88\).
So \(2x = 2\).
Divide both sides by 2: \(x = 1\).

Step3: Find the complementary angle

The complementary angle is \(90 - 1=89\).

Answer:

\(1\) and \(89\)