Question

the shape wxyz below is a parallelogram. what is the measure of ∠x? (note that the figure is not drawn to scale.)

Explanation:

Step1: Recall parallelogram property

In a parallelogram, adjacent - angles are supplementary. That is, the sum of two adjacent angles is 180°.

Step2: Identify adjacent angles

∠Z and ∠X are adjacent angles in parallelogram WXYZ.

Step3: Set up equation

Let m∠X=x. We know that m∠Z = 47°. So, x+47°=180°.

Step4: Solve for x

x=180° - 47°=133°.

Answer:

133°