
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
Suppose the current time is 4:00 PM, what is the angle between the hour hand and the minute hand on a clock (only one angle is required)? Additionally, how many degrees do the hour and minute hands each rotate from this time until 6:30 PM the same day?

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