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

Below is a quadrilateral:

Is it possible that it is a parallelogram?

AAABBBCCCDDD1206012060

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1

Understand the problem

Below is a quadrilateral:

Is it possible that it is a parallelogram?

AAABBBCCCDDD1206012060

2

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.

3

Final Answer

Yes

Practice Quiz

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It is possible to draw a quadrilateral that is not a rectangle and that has two equal opposite sides?

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