Respuesta :

Given:

The figure of a triangle.

[tex]IW= x-2[/tex]

[tex]IU=2x-6[/tex]

To find:

The value of x

Solution:

From the given figure it is clear that [tex]VI[/tex] is a median of the given triangle. It means [tex]I[/tex] divides [tex]UW[/tex] is two equal parts.

[tex]IU=IW[/tex]

[tex]2x-6=x-2[/tex]

[tex]2x-x=6-2[/tex]

[tex]x=4/tex]

The value of x is 4. Therefore, the correct option is D.