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 \(Y = y\), then \(X = 3y\). Since \(X\) and \(Y\) are supplementary, \(X + Y=180^{\circ}\), so \(3y + y=180^{\circ}\).

Step2: Solve for \(y\)

Combine like terms: \(4y = 180^{\circ}\), then \(y=\frac{180^{\circ}}{4}=45^{\circ}\).

Step3: Find \(X\)

Since \(X = 3y\), substitute \(y = 45^{\circ}\), so \(X=3\times45^{\circ}=135^{\circ}\).

Answer:

D. \(135^{\circ}\)