Question

Two consecutive angles of a parallelogram are (x + 60) and (2x + 30°. What special name can you give tothis parallelogram?
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Answer 1

Ractangle:-

1 Answer. We know that consecutive interior angles of a parallelogram are supplementary. Thus, two consecutive angles are (30 + 60)° , (2 × 30 + 30)° i.e. 90° and 90°. Hence , the special name of the given parallelogram is ractangle.

Answer 2

The parallelogram is a rectangle

Given :

Two consecutive angle of a parallelogram are (x + 60°) and( 2x + 30°)

To find :

The special name of the parallelogram

Solution :

Step 1 of 3 :

Find the value of x

Here it is given that two consecutive angle of a parallelogram are (x + 60°) and( 2x + 30°)

We know that Consecutive angles of a parallelogram are supplementary.

Thus we get

x + 60° + 2x + 30° = 180°

⇒ 3x + 90° = 180°

⇒ 3x = 90°

⇒ x = 30°

Step 2 of 3 :

Find the Consecutive angles of the parallelogram

x + 60° = 30° + 60° = 90°

2x + 30° = 60° + 30° = 90°

So consecutive angles of the parallelogram are 90° & 90°

Step 3 of 3 :

Find special name of the parallelogram

Since consecutive angles of the parallelogram are 90° & 90°

Hence the parallelogram is a rectangle

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