If an angle of a parallelogram is two - third of its adjacent angle ,

1.	If an angle of a parallelogram is two - third of its adjacent angle , then the smallest angle of the parallelogram is .......... . *1 point
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°

If an angle of a parallelogram is two - third of its adjacent angle , then the smallest angle of the parallelogram is .......... . *1 point

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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If an angle of a parallelogram is two - third of its adjacent angle , then the smallest angle of the parallelogram is .......... . *1 point

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