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

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

Solution:

(c) Rectangle

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

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