
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
Given a triangle \( \triangle ABC \) such that the height relative to side \( BC \) is not less than side \( BC \) and the height relative to side \( AB \) is not less than side \( AB \). Determine the measures of the angles of this triangle.

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