
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 floor decoration features a circle with ten rays emanating from the center, producing ten equal central angles. One of the rays points due North. What is the measure in degrees of the smaller angle formed between the ray pointing East and the ray pointing Northwest?

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