Question

question
find the measure of the three missing angles in the parallelogram below.
answer attempt 2 out of 2
x =

y =

z =

Explanation:

Step1: Use the property of parallelogram (opposite angles are equal)

In a parallelogram, opposite angles are equal. So \(x = 72^{\circ}\)

Step2: Use the property of parallelogram (adjacent angles are supplementary)

Adjacent angles in a parallelogram are supplementary (\(a + b=180^{\circ}\)). Since \(x = 72^{\circ}\), and \(x + y=180^{\circ}\), then \(y=180 - 72=108^{\circ}\)

Step3: Use the property of parallelogram (opposite angles are equal)

Since \(y\) and \(z\) are opposite angles in the parallelogram, \(z = y\). So \(z = 108^{\circ}\)

Answer:

\(x = 72\), \(y = 108\), \(z = 108\)