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Rhombus

If A B C D is...

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

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Solution

(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.

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