
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 $\triangle ABC$, $a$, $b$, $c$ are the sides opposite to angles $A$, $B$, $C$, respectively. Let vector $\overrightarrow{m} = (b, c-a)$ and vector $\overrightarrow{n} = (b-c, c+a)$. If $\overrightarrow{m} \perp \overrightarrow{n}$, then the measure of angle $A$ is \_\_\_\_\_\_.

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