Question

if one angle of a parallelogram is twice of its adjacent angle find the angle of the parallelogram​

Answer 1

ANSWER:

Given:

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

To Find:

• The value of the angle

Assumption:

Let the adjacent angle be x.

Hence, the required angle is 2x.

Solution:

(Refer the attachment for labelling)

We know that, the adjacent angles of a parallelogram are supplementary,i.e, the sum of them is 180°

So,

⇒ x + 2x = 180°

⇒ 3x = 180°

⇒ x = 180/2 = 60°

Therefore,

The required angle = 2x = 2*60 = 120°.

Formula Used:

• Sum of adjacent angles of a parallelogram is 180°.

Important points:

• Supplementary = Adding to 180°
• Adjacent angles = Angles which share 1 common arm.
• Opposite angles = Angles which do not share any common arm.

Answer 2

Answer:

here is the answer

Step-by-step explanation: