
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 triangle \(ABC\), the altitude \(AM\) is not less than \(BC\), and the altitude \(BH\) is not less than \(AC\). Find the angles of triangle \(ABC\).

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