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Find each angle of a parallelogram …

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Find each angle of a parallelogram if two consecutive angle are in ratio of 1:3
  • 1 answers

Sia ? 6 years, 5 months ago

Let the adjacent angles of a parallelogram be x and 3x.
Then, we have x + 3x = 180° [adjacent angles of parallelogram are supplementary]
⇒ 4x = 180° 
⇒ x = 45°
Thus the angles are 45°, 135°
Hence, the angles are 45°, 135°, 45° and 135°. [opposite angles in a  parallelogram are equal]

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