If an angle of a parallelogram is two - third of its adjacent angle , then find the smallest angle of the parallelogram . -Maths 9th

1 Answer

Answer :

In a parallelogram ABCD, Let ∠A  be x and ∠B be 2x / 3  ∴ ∠A + ∠B = 180° ⇒ x + 2x / 3 = 180° ⇒ 5x / 3 = 180°  ⇒ x° = 180° × 3 / 5 = 108°  ∠A = 108° , ∠B = 2 / 3  ×  108° = 72°  

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