Question

angles x and y are supplementary. angle x is 3 times the measure of angle y. what is the measure of angle x? 45 60 120 135

Explanation:

Step1: Set up equations

Let the measure of angle $Y$ be $y$. Then the measure of angle $X$ is $3y$. Since $X$ and $Y$ are supplementary, $X + Y=180^{\circ}$, so $3y + y=180^{\circ}$.

Step2: Solve the equation

Combining like - terms, we get $4y = 180^{\circ}$. Then $y=\frac{180^{\circ}}{4}=45^{\circ}$.

Step3: Find the measure of angle $X$

Since $X = 3y$, substituting $y = 45^{\circ}$, we have $X=3\times45^{\circ}=135^{\circ}$.

Answer:

$135^{\circ}$