Answer:
The correct option is C.
Explanation:
We need to find the length of line segment RJ.
From the given figure it is clear that line segment KJ is the sum of line segments KR and RJ.
![KJ=KR+RJ](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oph5jlkiw1nfqu9oxpsmgos3k24dudzx3j.png)
The length of line segment KJ is 95 units and the length of KR is 6 units.
Substitute KJ=95 and KR=6 in the above equation.
![95=6+RJ](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6tuj9lnxtd7ghj9a0p8nmc6ta9w1chujhi.png)
Subtract 6 from both the sides.
![95-6=6+RJ-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z1twuphk2ejal6hskz7fb8fwf3n3awpl1v.png)
![89=RJ](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zsp0izoekpz8nu8pztto1u69n9ouibmtnc.png)
The length of segment RJ is 89 units. Therefore the correct option is C.