
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
All lateral edges of a triangular pyramid form the same angle with the base plane. This angle is equal to one of the acute angles of the right triangle lying in the base of the pyramid. Find this angle, if the hypotenuse of the triangle is $c$, and the volume of the pyramid is $V$.

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