Two consecutive angles of a parallelogram are (x + 60)° and (2x + 30)°. What type of parallelogram is this?

 

We know that consecutive interior angles of a parallelogram are supplementary.
∴ (x + 60° + (2x + 30)° = 180°
⇒ 3x° + 90° = 180°
⇒ 3x° = 90°
⇒ x° = 30°
Thus, two consecutive angles are (30 + 60)°, 12 x 30 + 30)”. i.e., 90° and 90°.
Hence, the name of the given parallelogram is rectangle.