Question

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

Answer 1

Answer:

All the angles are of Measure 90°

The Special Name is Rectangle

Step-by-step explanation:

Sum of two consecutive angles of a parallelogram is 180°

x + 60 + 2x + 30 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

x = 90/3

x = 30°

Now, first angle is ( x + 60 )

→ [ (30) + 60 ] = 90°

Second angle is ( 2x + 30 )

→ [ 2 (30) + 30 ] = 90°

The special name which can be given to this parallelogram is rectangle, because a rectangle is just a parallelogram with angles of 90° measure.