Question

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

Answer 1

Answer:

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°, 120°, 60°, and 120°.

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Hope it will be helpful :)

Answer 2

$\huge\bigstar\underline\mathtt{Question:-}$

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

$\huge\bigstar\underline\mathtt{Answer:-}$

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°

$\longrightarrow$Therefore the angles are 60° , 120° , 60° , 120°.