
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
Let  $C$  and  $D$  be points inside angle  $\angle AOB$  such that  $5\angle COD = 4\angle AOC$  and   $3\angle COD = 2\angle DOB$ . If  $\angle AOB = 105^{\circ}$ , find  $\angle COD$ 

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