Question

Find the value of x that makes the shape a rhombus.

Answer 1

Given:

CDEF is a rhombus.

To find:

The value of x.

Solution:

We know that the diagonals of a rhombus are angle bisectors because they bisect each vertex angle.

`5x+1=8x-20`

`5x-8x=-1-20`

`-3x=-21`

Divide both sides by -3.

`x=(-21)/(-3)`

`x=7`

Therefore, the value of x is 7.