Answer:
The correct option is A.
Step-by-step explanation:
Triangle Proportionality Theorem: If a line segment is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.
Using Triangle Proportionality Theorem, we get
[tex]\frac{60}{60+40}=\frac{x}{50}[/tex]
[tex]\frac{60}{100}=\frac{x}{50}[/tex]
Multiply both sides by 50.
[tex]\frac{6}{10}\times 50=x[/tex]
[tex]30=x[/tex]
The value of x is 30, therefore the correct option is A.
