Answer:
x = 5
Step-by-step explanation:
When a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides the sides proportionally, that is
[tex]\frac{x}{x+5}[/tex] = [tex]\frac{x-2}{x+1}[/tex] ( cross- multiply )
x(x + 1) = (x - 2)(x + 5) ← distribute both sides
x² + x = x² + 3x - 10 ( subtract x² from both sides )
x = 3x - 10 ( subtract 3x from both sides )
- 2x = - 10 ( divide both sides by - 2 )
x = 5
