
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  $ABC$ ,  $AB>AC$ . The bisectors of  $\angle{B},\angle{C}$  intersect the sides  $AC,AB$  at  $P,Q$ , respectively. Let  $I$  be the incenter of  $\Delta ABC$ . Suppose that  $IP=IQ$ . How much isthe value of  $\angle A$ ?

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