Question

find the measure of the three missing angles in the parallelogram below. answer attempt 1 out of 4 $x = square$ $y = square$ $z = square$

Explanation:

Step1: Recall parallelogram angle - property

In a parallelogram, opposite angles are equal.

Step2: Find the value of \(x\)

Since \(x\) is opposite to the \(61^{\circ}\) angle, \(x = 61^{\circ}\).

Step3: Recall adjacent - angle property

Adjacent angles in a parallelogram are supplementary (sum to \(180^{\circ}\)).

Step4: Find the value of \(y\)

The angle adjacent to the \(61^{\circ}\) angle is \(y\). So \(y=180 - 61=119^{\circ}\).

Step5: Find the value of \(z\)

Since \(z\) is opposite to \(y\), \(z = 119^{\circ}\).

Answer:

\(x = 61^{\circ}\), \(y = 119^{\circ}\), \(z = 119^{\circ}\)