Question

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

Need ASAP!!
With full explanation.....​

Answer 1

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

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Given:-

One angle of a parallelogram is twice of its adjacent angle.

We know that,

In a parallelogram, opposite angles are equal.

Let the angles are x° , 2x° , x° , 2x°

sum of the angles = 360°

x° + 2x° + x° + 2x° = 360°

6x° = 360°

x° = 60°

$\pink\longrightarrow$Therefore the angles are 60° , 120° , 60° , 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°. Hence, the angles of the parallelogram are 120°, 60°, 120° and 60°.