
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
In triangle \(ABC\), two altitudes \(AK\) and \(CL\) are drawn. Find the measure of angle \(B\) if it is known that \(AC = 2 \cdot LK\).

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