Question

the measure of an angle is fourteen times the measure of its supplementary angle. what is the measure of each angle? ° and °

Explanation:

Step1: Set up the equation

Let the measure of the angle be $x$ and its supplementary angle be $y$. We know that $x + y=180^{\circ}$ and $x = 14y$.

Step2: Substitute $x$ into the first - equation

Substitute $x = 14y$ into $x + y=180^{\circ}$, we get $14y+y=180^{\circ}$.

Step3: Combine like - terms

$15y = 180^{\circ}$.

Step4: Solve for $y$

$y=\frac{180^{\circ}}{15}=12^{\circ}$.

Step5: Solve for $x$

Since $x = 14y$, then $x=14\times12^{\circ}=168^{\circ}$.

Answer:

$168$ and $12$