Question

the measure of an angle is forty - four times the measure of its complementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Define the relationship between angles

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

Step2: Expand the equation

$x=44\times90 - 44x$. So $x = 3960-44x$.

Step3: Solve for $x$

Add $44x$ to both sides: $x + 44x=3960$. Then $45x = 3960$. Divide both sides by 45: $x=\frac{3960}{45}=88$.

Step4: Find the complementary angle

The complementary angle is $90 - 88 = 2$.

Answer:

$88$ and $2$