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What type of quadrilateral has two pairs of parallel sides and opposite equal angles?

  1. Trapezoid

  2. Rhombus

  3. Parallelogram

  4. Square

The correct answer is: Parallelogram

A quadrilateral with two pairs of parallel sides and opposite equal angles is defined as a parallelogram. This geometric figure is significant because the opposite angles are equal and the opposite sides are parallel and equal in length. The properties of a parallelogram ensure that both pairs of opposite angles are congruent, characteristic of this shape. In contrast, a trapezoid has only one pair of parallel sides and does not conform to the criteria of having opposite equal angles. A rhombus does possess some traits of a parallelogram, including opposite angles being equal, but it specifically has all sides of equal length rather than just having parallel sides. A square is a specific type of rhombus and also qualifies as a parallelogram, but the question is identifying the broader category that satisfies the condition of two pairs of parallel sides along with opposite equal angles. Hence, the overall best answer reflecting the properties described is stated to be a parallelogram.