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Mathematics
9. Quadrilaterals and Parallelograms
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Q8 of 109 Page 318

If ABCD is a parallelogram with two adjacent angles ∠A = ∠ B, then the parallelogram is a

It is given in the question that,

ABCD is a parallelogram where two adjacent angles ∠ A = ∠ B


We know that, sum of adjacent angles is 180o


∴∠ A + ∠ B = 180o


2∠ A = 180o


∠ A = 180/2


∠ A = 90o


As, ∠ A = ∠ B = ∠ C = ∠ D = 90o


∴ ABCD is a rectangle as all the angles are equal to 90o


Hence, option (C) is correct

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Questions · 109
9. Quadrilaterals and Parallelograms
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