Question

For what value of x is the given parallelogram a rhombus ?

Answer 1

We know that:

• Both angles are equivalent.

This means that:

• 
  `(7x + 4) = (9x - 8)`

Step-by step calculations:

Open the parenthesis:

• 
  `(7x + 4) = (9x - 8)`
• =>
  `7x + 4 = 9x - 8`

Subtract 7x both sides:

• =>
  `7x - 7x + 4 = 9x - 8 - 7x`
• =>
  `4 = 2x - 8`

Add 8 both sides:

• =>
  `4 + 8 = 2x - 8 + 8`
• =>
  `12 = 2x`

Divide 2 both sides:

• =>
  `(12)/(2) = (2x)/(2)`
• =>
  `x = 6`

Answer 2

x = 6

Both the angles are equal

7x + 4 = 9x - 8

9x - 7x = 4 + 8

2x = 12

x = 6