Question

in parallelogram w x y z, the interior angle at point y measures 30 degrees. what is the measure of the interior angle at point x?

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, consecutive angles are supplementary. That is, the sum of consecutive angles is \(180^{\circ}\).

Step2: Identify consecutive angles

Angle \(Y\) and angle \(X\) are consecutive angles in parallelogram \(WXYZ\).

Step3: Calculate measure of angle \(X\)

Let the measure of angle \(X\) be \(x\). We know that \(x + 30^{\circ}=180^{\circ}\). Solving for \(x\), we get \(x = 180^{\circ}- 30^{\circ}=150^{\circ}\).

Answer:

\(150\) degrees