Question

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

Explanation:

Step1: Define complementary angles

Complementary angles add up to 90°. Let the measure of the complementary angle be $x$. Then the given angle is $x + 40$.

Step2: Set up equation

Since they are complementary, $x+(x + 40)=90$.

Step3: Simplify the equation

Combining like - terms gives $2x+40 = 90$.

Step4: Solve for $x$

Subtract 40 from both sides: $2x=90 - 40=50$. Then divide both sides by 2: $x = 25$.

Step5: Find the measure of the other angle

The other angle is $x + 40=25+40 = 65$.

Answer:

25 and 65