Question

the measure of an angle is forty - four times the measure of its complementary angle. what is the measure of each angle? ° and ° work it out not feeling ready yet? these can help: identify complementary, supplementary, vertical, adjace.. (90) solve linear equations: mixed review angle measures (91) lesson: complementary angles lesson: supplementary angles lesson: vertical angles

Explanation:

Step1: Define variables

Let the measure of the angle be $x$ and the measure of its complementary angle be $y$. We know that complementary angles satisfy $x + y=90^{\circ}$, and $x = 44y$.

Step2: Substitute $x$ into the first - equation

Substitute $x = 44y$ into $x + y=90^{\circ}$, we get $44y+y = 90^{\circ}$.

Step3: Combine like - terms

$45y=90^{\circ}$.

Step4: Solve for $y$

Divide both sides of the equation $45y = 90^{\circ}$ by 45, we have $y=\frac{90^{\circ}}{45}=2^{\circ}$.

Step5: Solve for $x$

Since $x = 44y$, then $x=44\times2^{\circ}=88^{\circ}$.

Answer:

$88$ and $2$