Answer:
10
Step-by-step explanation:
LN = 4 + x - 8 = x - 4
LS = 3 + x - 5 = x - 2
By intersecting secants theorem:
[tex]LM\times LN = LK\times LS \\ \\ 4(x - 4) = 3(x - 2) \\ \\ 4x - 16 = 3x - 6 \\ \\ 4x - 3x = 16 - 6 \\ \\ x = 10[/tex]
