
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 equally spaced rays emanating from its center, dividing the clock into ten equal segments. One ray points at 12 o'clock (due north). Calculate the angle in degrees between the ray pointing at 4 o'clock and the ray pointing at 7 o'clock.

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