Answer:
x = 8
Step-by-step explanation:
If NO is parallel to KJ then the sides LK and LJ are in proportion, that is
[tex]\frac{KN}{NL}[/tex] = [tex]\frac{JO}{OL}[/tex], substitute values
[tex]\frac{x+2}{x-3}[/tex] = [tex]\frac{x}{x-4}[/tex] (cross- multiply )
x(x - 3) = (x + 2)(x - 4) ← expand factors on both sides
x² - 3x = x² - 2x - 8 ( subtract x² - 2x from both sides )
- x = - 8 ( multiply both sides by - 1 )
x = 8
