
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
A circular floor pattern includes a central point from which 12 equally spaced rays emerge. One ray points due North. Determine the measure in degrees of the smaller angle formed between the ray pointing due North and the ray pointing South-Southeast.

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