# Parallels 'Parallel' to parallel

Geometry Level 3

In the above figure, $$AB || CE || FG$$, $$AB = 4.5 \text{ cm}, FG = 9\text{ cm}, AC = 4\text{ cm}, CE = x\text{ cm}$$

Find the value of $$x$$.

Bonus: Can you generalize for any 3 parallel lines, where the line joining the lines, intersecting at a point?

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