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:

Square

Step-by-step explanation:

Given

$\angle 1 = x + 60$

$\angle 2 = 2x + 30$

1 and 2 are consecutive

Required

Determine a special name to the parallelogram

For consecutive angles 1 and 2 of a parallelogram, we have:

$\angle 1 + \angle 2 = 180$

$x + 60 + 2x + 30 = 180$

$3x +90 = 180$

Collect like terms

$3x = 180 - 90$

$3x = 90$

$x = 30$

Next, is to calculate angles 1 and 2

$\angle 1 = x + 60$

$\angle = 30 + 60 = 90$

$\angle 2 = 2x + 30$

$\angle 2= 2*30 + 30 = 90$

Both angles are 90.

This implies that each angle in the parallelogram is 90.

Such a parallelogram is either a rectangle or a square