Question

an angle measures 44° more than the measure of its complementary angle. what is the measure of each angle? an angle measures 44° more than the measure of its complementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Define the angles

Let one angle be $x$ degrees. Its complementary angle is $(90 - x)$ degrees. Given that $x=(90 - x)+44$.

Step2: Solve the equation

Add $x$ to both sides of the equation: $x+x=90 + 44$. So, $2x=134$.

Step3: Find the value of $x$

Divide both sides by 2: $x=\frac{134}{2}=67$.

Step4: Find the complementary angle

The complementary angle is $90 - 67 = 23$.

Answer:

67, 23