Question

solve for x and y.
128°
x
y
x=
y=

Explanation:

Step1: Recall the property of a parallelogram

In a parallelogram, opposite angles are equal and consecutive angles are supplementary (sum to \(180^{\circ}\)).

Step2: Find \(x\)

Since \(x\) and \(128^{\circ}\) are consecutive angles in a parallelogram, \(x + 128^{\circ}=180^{\circ}\).

$$x=180^{\circ}- 128^{\circ}$$

$$x = 52^{\circ}$$

Step3: Find \(y\)

Since \(y\) and \(x\) are opposite angles in a parallelogram, \(y=x\).

$$y = 52^{\circ}$$

Answer:

\(x = 52^{\circ}\)
\(y = 52^{\circ}\)