what is the value of x?

Answer:
x=4
Step-by-step explanation:
Length of LJ is [tex]8\sqrt{2} * sin(30)[/tex] which is [tex]4\sqrt{2}[/tex]
Now, in triangle LMJ the both angles are 45 degrees,
so [tex]x^{2} +x^{2} =(4\sqrt{2}) ^{2}[/tex]
[tex]2x^{2} = 2*4^{2}[/tex]
x=4