Question

Two consecutive angle of a parallelogram are (x+60°) and( 2x+30°) which special name can you give to this parallelogram

Answer 1

we can name it as a rectangle coz
the both the angles are 90 degree

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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