
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 a regular triangular pyramid, the sum of the angles formed by the slant height of the pyramid with the base plane and the lateral edge with the same base plane is equal to $\frac{\pi}{4}$. Find these angles.

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