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Question

# One angle of a parallelogram is twice the adjacent angle. Angles of the parallelogram are

A

60°,100°,180°,20°

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B

140°,20°,120°,80°

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C

60°,120°,60°,120°

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D

100°,80°,100°,80°

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Solution

## The correct option is C 60°,120°,60°,120° Let one angle be x and the adjacent angle be y. Given, x = 2y--- (i) x + y = 180∘---- (ii) (sum of adjacent angles of a parallelogram is 180∘) Substitute (i) in (ii), we get ⇒ y = 60∘ ⇒ x = 2y ⇒ x = 120∘ Therefore, the angles of the parallelogram are 60∘, 120∘, 60∘, 120∘

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