
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
How can $n$ rays be drawn starting from a single point on a plane so that the sum of all possible pairwise angles between these rays is the maximum possible? (The angle between two rays here is understood to be an angle not exceeding $180^{\circ}$.) What is the maximum possible value of this sum of angles?

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