Question

1. in parallelogram abcd, what is the measure of z°?

60
65
115
180

Explanation:

Step1: Use the property of parallelogram adjacent angles

In a parallelogram, adjacent angles are supplementary. That is, the sum of adjacent angles is \(180^{\circ}\).
For parallelogram \(ABCD\), \(\angle A\) and \(\angle D\) are adjacent angles.
We know that \(\angle A = 65^{\circ}\), and \(\angle A+\angle D=180^{\circ}\) (adjacent angles of a parallelogram are supplementary).

Step2: Solve for \(z\)

Substitute \(\angle A = 65^{\circ}\) into \(\angle A+\angle D = 180^{\circ}\).
Let \(z=\angle D\), then \(65 + z=180\).
Subtract \(65\) from both sides: \(z=180 - 65\).
\(z = 115\).

Answer:

\(115\)