
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, M is the midpoint of side AC, and triangle ABC has a total area of 180 square units. N is the midpoint of side BM. Find the area of triangle AMN.
A) 45 square units
B) 90 square units
C) 60 square units
D) 75 square units

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