If one of a parallelogram is twice of its adjacent angle , find the angles of the parallelogram . -Maths 9th

If one of a parallelogram is twice of its adjacent angle , find the angles of the parallelogram . -Maths 9th
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Answer :

Let the two adjacent angles be x° and 2x° . In a parallelogram, sum of the adjacent angles are 180°. ∴ x + 2x = 180°    ⇒ 3x = 180°     ⇒ x = 60°    Thus , the two adjacent angles are 120° and 60°. Hence, the angles of the parallelogram are 120°, 60°,  120° and  60°.
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