Respuesta :

Answer:

[tex]x = 8[/tex] units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

From the diagram, the half of the diagonal measure 5x units and 6x-8 units.

This halves must be equal in length.

[tex]6x - 8 = 5x [/tex]

Group similar terms to get:

[tex]6x - 5x = 8[/tex]

Simplify to get:

[tex]x = 8[/tex]