Question

Calculate all the angles of a parallelogram if one of its angles is twice its adjacent angle.​

Answer 1

Step-by-step explanation:

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°.

Answer 2

Let two adjacent angles be x° and 2x°.

In a parallelogram, sum of the adjacent

angles are 180°. Thus, the two adjacent

angles are 120° and 60°.

Step-by-Step Explanation:

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