
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 $\triangle ABC$, $\angle BAC=30^\circ$. A point $E$ is located on $\overline{BC}$ such that $3\cdot BE=2\cdot EC$. If $\angle EAB=45^\circ$, find $\angle ACB$.
A) $10^\circ$
B) $15^\circ$
C) $20^\circ$
D) $25^\circ$

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