
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, the triangle is such that $AB = 2AC$, and it is given that point P lies on segment BC such that BP = 2PC. If $\angle PAB = \angle PCA$, find the value of $\angle BAC$.
A) 90°
B) 100°
C) 110°
D) 120°

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