
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
Given a triangle ABC with sides a, b, c opposite to angles A, B, C respectively, and area S. If $(b+c)^{2}-a^{2}=4 \sqrt {3}S$, find the measure of angle A.

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