Question

find the measure of angle x. (just put the number!!!!) *
your answer
find the measure of angle z. (just put the number!!!!) *
your answer

Explanation:

Step1: Recall the property of a parallelogram

In a parallelogram, consecutive angles are supplementary. But wait, if it's a parallelogram \(XWYZ\), \(XW\parallel YZ\). Also, in a parallelogram, opposite angles are equal and consecutive angles are supplementary. But we can also use the property that in a parallelogram \( \angle X+\angle W = 180^{\circ}\) (since \(XW\parallel YZ\) and \(XY\) is a transversal, same - side interior angles).
\(\angle X=180^{\circ}-\angle W\)

Step2: Substitute the value of \(\angle W\)

Given \(\angle W = 150^{\circ}\), then \(\angle X=180 - 150=30^{\circ}\)

Step3: Use the property of a parallelogram for \(\angle Z\)

In a parallelogram \(XWYZ\), \(\angle Z=\angle X\) (opposite angles of a parallelogram are equal)

Answer:

\(30\)
\(30\)