
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
$\triangle ABC$ is equilateral. Points $P$ and $Q$ are on segments $CB$ and $AB$ respectively such that $AC = AP = 1.5PQ = 1.5QB$. Find the number of degrees in $\angle B$.
A) $45^\circ$
B) $50^\circ$
C) $60^\circ$
D) $75^\circ$
E) $90^\circ$

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