Question

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

Answer 1

$\huge\underline\mathrm{SOLUTION:-}$

Let the angle of the parallelogram given in the question statement be “x”.

Now, its adjacent angle will be 2x.

It is known that the opposite angles of a parallelogram are equal.

So, all the angles of a parallelogram will be x, 2x, x, and 2x

As the sum of interior angles of a parallelogram = 360°,

x + 2x + x + 2x = 360°

Or, x = 60°

• Thus, all the angles will be 60° and 120°.

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Answer 2

Answer:

Let the 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°.

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