
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 triangle ABC, a, b, and c are the sides opposite to angles A, B, and C respectively, and they satisfy the equation 2asinA = (2b + c)sinB + (2c + b)sinC.
(1) Find the measure of angle A.
(2) If a = 2$\sqrt {3}$, find the maximum area of triangle ABC.

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