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In a parallelogram, two adjacent angles have EQUAL measure. What can you conclude about the parallelogram?
AIt must be a square
BIt must be a rhombus
CIt must be a rectangle (all angles are right)
DIt could be any parallelogram
Answer & Solution
Correct answer: C. It must be a rectangle (all angles are right)
Adjacent angles of a parallelogram are supplementary, so they sum to 180°. If they are also equal, each one is 90°. Then by the opposite-angles property, all four angles are 90° — the parallelogram is a rectangle. It need not be a square (sides may differ).
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