Question

find the values of x and y.
x = (do not include the degree symbol in your answer.)

Explanation:

Step1: Identify angle - relationship

The angle of 128° and the angle with measure \(x^{\circ}\) are vertical angles.
Vertical angles are equal. So \(x = 128\).

Step2: Identify supplementary - angle relationship

The angle with measure \(x^{\circ}\) and the angle with measure \(y^{\circ}\) are supplementary angles (they form a straight - line pair).
The sum of supplementary angles is 180°. Since \(x = 128\), then \(y=180 - x\).
Substitute \(x = 128\) into the equation: \(y = 180-128=52\).

Answer:

\(x = 128\), \(y = 52\)