
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
Starting at noon, João makes a mark at the position of the hour hand on his clock every 80 minutes.

a) After how much time will it no longer be necessary to make new marks on the clock?

b) What is the sum of the interior angles of the polygon formed by the marks?

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