Question

quadrilateral abcd is a parallelogram. select one pair of equal angles.

Explanation:

Step1: Recall Parallelogram Angle Property

In a parallelogram, opposite angles are equal, and alternate - interior angles (due to parallel sides and transversals) also give equal angles. For parallelogram \(ABCD\), \(AB\parallel CD\) and \(AD\parallel BC\).

Step2: Identify Equal Angles

Looking at the angles, \(\angle B\) and \(\angle D\) are opposite angles (or we can also consider \(\angle A\) and \(\angle C\)). From the diagram, \(\angle B\) (at vertex \(B\)) and \(\angle D\) (at vertex \(D\)) are equal. Also, \(\angle A\) (at vertex \(A\)) and \(\angle C\) (at vertex \(C\)) are equal. Let's take \(\angle B=\angle D\) (or \(\angle A = \angle C\)) as a valid pair.

Answer:

\(\angle B=\angle D\) (or \(\angle A=\angle C\))