Respuesta :

Answer:

[tex]\huge\boxed{IJ = 9}[/tex]

Step-by-step explanation:

Given that J is on line segment IK.

So, it is like:

I______?_______J___6___K

|<--------------------15---------------->|

We know that:

IK = IJ + JK

Where IK = 15 and JK = 6

15 = IJ + 6

Subtracting 6 to both sides

IJ = 15 - 6

IJ = 9