Question

Two consecutive angles of a parallelogram are (x+60) and (2x +30). What special name can you give to this parallelogram .​

Answer 1

To Find :-

The name of parallelogram.

It's given that,

Two consecutive angles of a parallelogram are

(x+60) and (2x +30).

The two consecutive angles of parallelogram are supplementary.

• (x+60) + (2x + 30) = 180°

=> (x+60) + (2x + 30) = 180

=> x + 60 + 2x + 30 = 180

=> 3x + 90 = 180

=> 3x = 180 - 90

=> 3x = 90

=> x = 90/3

=> x = 30

The angles :-

(x + 60) = (30 + 60) = 90°

(2x + 30) = (2×30 + 30) = 60 + 30 = 90°

The name of parallelogram is Rectangle.

Answer 2

Given:

Two consecutive angles of a parallelogram are (x+60) and (2x +30).

To Find :-

The name of parallelogram.

Solution:

The two consecutive angles of parallelogram are supplementary.

(x+60) + (2x + 30) = 180°

=> (x+60) + (2x + 30) = 180

=> x + 60 + 2x + 30 = 180

=> 3x + 90 = 180

=> 3x = 180 - 90

=> 3x = 90

=> x = 90/3

=> x = 30

The angles :-

(x + 60) = (30 + 60) = 90°

(2x + 30) = (2×30 + 30) = 60 + 30 = 90°

Hence, the name of parallelogram is Rectangle.