
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given a diagram where $AB\parallel CD\parallel GH\parallel EF$, the lengths of segments AB and CD are 180 cm and 120 cm respectively. Assume all parallel lines lie horizontally and $AB$ and $CD$ are twice the lengths of $GH$ and $EF$ respectively. What is the number of centimeters in the length of $EF$?

Present the answer in LaTex format: \boxed{Your answer}
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