
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
A certain line intersects parallel lines \(a\) and \(b\) at points \(A\) and \(B\) respectively. The bisector of one of the angles formed at vertex \(B\) intersects line \(a\) at point \(C\). Find \(AC\) if \(AB = 1\).

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