
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
Five rays  $\overrightarrow{OA}$ , $\overrightarrow{OB}$ ,  $\overrightarrow{OC}$ ,  $\overrightarrow{OD}$ , and  $\overrightarrow{OE}$   radiate in a clockwise order from  $O$  forming four non-overlapping angles such that  $\angle EOD = 2\angle COB$ ,  $\angle COB = 2\angle BOA$ , while  $\angle DOC = 3\angle BOA$ . If  $E$ ,  $O$ ,  $A$  are collinear with  $O$  between  $A$  and  $E$ , what is the degree measure of  $\angle DOB?$ 

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