
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 the given triangle \( ABC \), \( AB = AC \). We rotate the line \( AC \) around \( AB \) as the axis, and the line \( AB \) around \( AC \) as the axis. What is the angle between the common generatrices of the rotation cones?

Is it possible to select one generatrix from each cone such that they are perpendicular to each other?

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