Question

find the measure of the three missing angles in the following parallelogram
answer

Explanation:

Step1: Opposite angles of parallelogram

In a parallelogram, opposite angles are equal. So \(x = 76^{\circ}\).

Step2: Adjacent angles of parallelogram

Adjacent angles in a parallelogram are supplementary (\(y + x=180^{\circ}\)). Since \(x = 76^{\circ}\), then \(y=180 - 76=104^{\circ}\).

Step3: Opposite angles of parallelogram

Again, using the property of opposite angles in a parallelogram, \(z = y = 104^{\circ}\).

Answer:

\(x = 76\), \(y = 104\), \(z = 104\)