Question

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 1

(c) Rectangle

Explanation:
∠A = ∠B
​Then ∠A + ∠B = 180^o
⇒ 2∠A = 180^o
⇒ ∠A​ = 90^o
⇒ ∠A​ =​ ∠B​ =​∠C​ =​​∠D = 90^o
∴​ The parallelogram is a rectangle.