Question

Given lines l,m,and n are parallel and cut by two transversal lines, find the value of x. Round your answer to the nearest tenth if necessary
x line goes up with l, m, and n go to the left
L____________
8
________________X

M______________
24 27
N____________

Answer 1

x = 9

Reason: When three parallel lines are cut by two transversals, the corresponding segments between the parallels are proportional. So
x/27 = 8/24 = 1/3, hence x = 27*(1/3) = 9.