Question

an angle measures 4° more than the measure of its complementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Set up the equation

Let the measure of the complementary angle be \(x\). Then the measure of the other angle is \(x + 4\). Since complementary angles sum to \(90^{\circ}\), we have \(x+(x + 4)=90\).

Step2: Solve the equation

Simplify the left - hand side: \(2x+4 = 90\). Subtract 4 from both sides: \(2x=90 - 4=86\). Divide both sides by 2: \(x=\frac{86}{2}=43\).

Step3: Find the other angle

The other angle is \(x + 4=43+4 = 47\).

Answer:

\(43^{\circ}\) and \(47^{\circ}\)