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Which of the following CANNOT be a parallelogram?
AABCD with ∠A + ∠B = 180°
BABCD with AB = DC = 8 cm, AD = 4 cm, BC = 4 cm, opposite sides parallel
CABCD with ∠A = 70° and ∠C = 65°
DA rectangle with all angles 90°
Answer & Solution
Correct answer: C. ABCD with ∠A = 70° and ∠C = 65°
In a parallelogram opposite angles are equal: ∠A = ∠C. If ∠A = 70° but ∠C = 65°, the quadrilateral cannot be a parallelogram. The other options are all consistent — adjacent angles supplementary, opposite sides equal and parallel, and the right-angled rectangle are all valid parallelograms.
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