
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 disc is made up of 4 equal-weight sectors. The first sector is copper (density 8.7), the second is silver (density 10.5), the third is gold (density 19.2), and the fourth is platinum (density 21). What is the central angle corresponding to each sector?

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