Answer:
x = 3
Step-by-step explanation:
Since the angles are congruent and the sides are not equal, the triangles are similar.
Hence, we'll use the similarity ratio.
JK / LK = MN / LM
We know that
JK = x
LK = 6
MN = 4
LM = 8
[tex]\displaystyle \frac{x}{6} = \frac{4}{8} \\\\Cross\ multiply\\\\x \times 8 = 4 \times 6\\\\8x = 24\\\\Divide \ both \ sides \ by \ 8\\\\x = 24/8\\\\x = 3\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
