Question

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

Explanation:

Step1: Define the angles

Let the measure of the angle be $x$ and its supplementary angle be $y$. We know that supplementary angles add up to 180 degrees, so $x + y=180$. Also, given that $x = 2y$.

Step2: Substitute $x$ in the first - equation

Substitute $x = 2y$ into $x + y=180$. We get $2y+y=180$.

Step3: Solve for $y$

Combine like - terms: $3y = 180$. Then divide both sides by 3, so $y=\frac{180}{3}=60$.

Step4: Solve for $x$

Since $x = 2y$, substitute $y = 60$ into this equation. So $x=2\times60 = 120$.

Answer:

120, 60