
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 \(\Delta ABC\), the sides opposite to angles A, B, C are a, b, c respectively, and S represents the area of \(\Delta ABC\). If \(S = \frac{1}{4}(b^2 + c^2 - a^2)\), determine the measure of angle A.

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