
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 edges of a rectangular parallelepiped are \(a, b,\) and \(c\). Find the angle between the diagonal of the parallelepiped and the skew diagonal of the face with sides \(a\) and \(b\).

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