
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 clock face is designed with ten equal spokes, creating ten congruent central angles. The first spoke points at 12 o'clock (due North), and you want to find the measure in degrees of the smaller angle formed between the spoke pointing to 3 o'clock (due East) and the spoke pointing to the position halfway between 4 o'clock and 5 o'clock.

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