Q. 85.0( 1 Vote )

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

A. rhombus

B. trapezium

C. rectangle

D. none of these

Answer :

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 180^{o}

∴∠ A + ∠ B = 180^{o}

2∠ A = 180^{o}

∠ A = 180/2

∠ A = 90^{o}

As, ∠ A = ∠ B = ∠ C = ∠ D = 90^{o}

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

Hence, option (C) is correct

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