Answer: NJ = 8
Step-by-step explanation:
Given: In triangle JKL , MN is a line segment parallel to KL intersects the other sides into two distinct points at M and N.
The basic proportionality theorem says that a line is parallel to a side of a triangle which intersects the other sides into two different points then the line divides those sides in proportion.
So by basic proportionality theorem we have :-
[tex]\frac{JM}{MK}=\frac{NJ}{LN}\\\\\Rightarrow\frac{9}{45}=\frac{NJ}{40}\\\\\Rightarrow NJ=\frac{40}{5}\\\\\Rightarrow NJ=8[/tex]
