Question

1. in parallelogram abcd, what is the measure of x? a 65°

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, opposite - angles are equal and adjacent - angles are supplementary.

Step2: Identify adjacent angles

\(\angle A\) and \(\angle B\) are adjacent angles. \(\angle A = 65^{\circ}\), and \(\angle A+\angle B=180^{\circ}\) (adjacent angles of a parallelogram are supplementary).

Step3: Solve for \(x\)

Since \(\angle B = x^{\circ}\), we have \(65 + x=180\). Subtracting 65 from both sides gives \(x = 180 - 65=115\).

Answer:

\(115\)