
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
In △ABC, the sides opposite to angles A, B, and C are a, b, and c, respectively. The area of △BC is S. Given that 4$$\sqrt {3}S$$=b<sup>2</sup>+c<sup>2</sup>\-a<sup>2</sup>,

1. Find angle A.
2. If a=2, b=2$$\sqrt {3}$$, find angle C.

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