
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. Given that a<sup>2</sup>+b<sup>2</sup>-c<sup>2</sup>=8 and the area of △ABC is 2√3:

1. Find the measure of angle C.
2. If c=2√3, find the value of sinA+sinB.

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