
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
The largest angle of an acute triangle is five times the smallest angle.

Find the angles of this triangle, given that all of them are expressed as whole numbers of degrees.

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