Question

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

Answer 1

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

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°.

______________________________

Answer 2

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°

⟶ Therefore the angles are 60° , 120° , 60° , 120°.