Question

Two consecutive angle of a parallelogram are (x+55°) and( 2x+35°) which special name can you give to this parallelogram​

Answer 1

Answer:

We know that consecutive interior angles of a parallelogram are supplementary.

∴ (x + 55)° + (2x + 35)° = 180°

⇒ x° + 2x° + 55° + 35° = 180°

⇒ 3x° + 90° = 180°

⇒ 3x° = 180° / 90°

⇒ 3x° = 90°

⇒ x° = 30°

Substituting value of x

Thus, two consecutive angles are

( x + 60° ) = (30° + 60°) = 90°

( 2x+35° ) = (2 X 30° +30°) = 60°+30° = 90°

Hence , the special name of the given parallelogram is rectangle.