Question

find the measure of the three missing angles in the parallelogram below.

Explanation:

Step1: Use the property of opposite angles in a parallelogram

In a parallelogram, opposite angles are equal. So, \(x = 180^{\circ}- 61^{\circ}\) (adjacent angles in a parallelogram are supplementary).
\(x=119^{\circ}\)
Since \(z\) is opposite to the \(61^{\circ}\) angle, \(z = 61^{\circ}\)
Since \(y\) is opposite to \(x\), \(y=119^{\circ}\)

Answer:

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