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
⇒ 2∠A = 180o
⇒ ∠A = 90o
⇒ ∠A = ∠B =∠C =∠D = 90o
∴ The parallelogram is a rectangle.