Respuesta :

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.

[tex]5x+1=8x-20[/tex]

[tex]5x-8x=-1-20[/tex]

[tex]-3x=-21[/tex]

Divide both sides by -3.

[tex]x=\dfrac{-21}{-3}[/tex]

[tex]x=7[/tex]

Therefore, the value of x is 7.

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