
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 \(ABC\), points \(M\) and \(N\) are the midpoints of sides \(AC\) and \(BC\) respectively. It is known that the intersection of the medians of triangle \(AMN\) is the orthocenter of triangle \(ABC\). Find the angle \(ABC\).

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