
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 the diagram,  $\angle AOB = \angle  BOC$  and $\angle COD = \angle DOE = \angle EOF$ . Given that  $\angle AOD = 82^o$  and  $\angle BOE = 68^o$ . Find  $\angle AOF$ .
![Image](https://cdn.artofproblemsolving.com/attachments/b/2/deba6cd740adbf033ad884fff8e13cd21d9c5a.png)

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