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.