
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 diagram, vectors $\overrightarrow{OA}$ and $\overrightarrow{OC}$ make an angle of $30^\circ$, and vectors $\overrightarrow{OB}$ and $\overrightarrow{OD}$ make an angle of $60^\circ$. If $\angle{AOD}$ is 4 times $\angle{BOC}$, find the measurement of $\angle{AOD}$.

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