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

Question

Philoid · Accepted 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