
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 a triangle  $ABC$ , let  $I$  denote the incenter. Let the lines  $AI,BI$  and  $CI$  intersect the incircle at  $P,Q$  and  $R$ , respectively. If  $\angle BAC = 40^o$ , what is the value of  $\angle QPR$  in degrees ?

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