Parallelogram Classification: Analyzing a Quadrilateral with 60° and 120° Angles

Question

Below is a quadrilateral:

Is it possible that it is a parallelogram?

AAABBBCCCDDD1206012060

Step-by-Step Solution

Let's review the property: a quadrilateral in which two pairs of opposite angles are equal is a parallelogram.

From the data in the drawing, it follows that:

D=B=60 D=B=60

A=C=120 A=C=120

Therefore, the quadrilateral is actually a parallelogram.

Answer

Yes