
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 decoration features ten rays emanating from the center, forming ten congruent central angles. One ray points directly North. What is the measure in degrees of the smaller angle formed between the ray pointing Northeast and the ray pointing West?

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