
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
If a line forms a 720-degree angle with a plane, find the maximum angle that this line can form with any line in the plane passing through the foot of the perpendicular from the line to the plane.

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