Question

figure wxyz is a parallelogram. which angle measures are correct? select three options. m∠x = 55° m∠w = 125° m∠w = 55° m∠z = 125° m∠z = 55°

Explanation:

Step1: Recall parallelogram angle - properties

In a parallelogram, opposite angles are equal and adjacent angles are supplementary (sum to 180°).

Step2: Analyze adjacent angles

Since $\angle Y = 125^{\circ}$, and $\angle W$ is adjacent to $\angle Y$, then $m\angle W=180 - 125=55^{\circ}$ (adjacent - angle property).

Step3: Analyze opposite angles

$\angle X$ is opposite to $\angle Z$, and $\angle W$ is opposite to $\angle Y$. Since $\angle Y = 125^{\circ}$, then $\angle W = 55^{\circ}$, $\angle X=\angle Z$. Also, since $\angle Y = 125^{\circ}$, $\angle X=\angle Z = 55^{\circ}$ (opposite - angle property).

Answer:

$m\angle X = 55^{\circ}$, $m\angle W = 55^{\circ}$, $m\angle Z = 55^{\circ}$