properties of quadrilaterals

Check the final answer first, then review the worked steps.

Problem

properties of quadrilaterals

Step-by-step solution

If consecutive angles are supplementary, then adjacent sides are parallel (e.g., $\angle A + \angle B = 180^\circ$ implies $AD \parallel BC$). Since this holds for all pairs, opposite sides are parallel, which defines a parallelogram.

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Answer

A. True