Given lines l, m and n are all parallel and cut by two transversal lines, find the value
of x.
1
8
4
m
38
X
п

Answer:
x = 19
Step-by-step explanation:
l, m and n are the parallel lines.
Two transversal lines are intersecting these parallel lines.
By Intercept theorem,
Lengths of intercepts between the parallel lines are proportional.
[tex]\frac{38}{8}=\frac{x}{4}[/tex]
x = [tex]\frac{4\times 38}{8}[/tex]
x = 19
Therefore, x = 19 will be the answer.