
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
The lateral edge lengths of a regular pyramid (with a regular polygon as its base, and all lateral edges being equal) together equal the perimeter of the base. Calculate the angle between the adjacent lateral faces of the pyramid.

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