Question

an angle measures 2° 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 \(x=(90 - x)- 2\).

Step2: Solve the equation

Expand \(x = 90 - x-2\). Add \(x\) to both sides: \(x+x=90 - 2\). So \(2x = 88\), then \(x = 44\).

Step3: Find the complementary angle

The complementary angle is \(90 - 44=46\).

Answer:

\(44\) and \(46\)