
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 the provided diagram, there are two overlapping triangles with three labeled angles each. In the first triangle, angles are labeled 1, 3, 5 and sum to $180^\circ$. In the second triangle, angles are labeled 2, 4, 6 and also sum to $180^\circ$. Another smaller triangle is formed by the intersection of these two triangles, with its angles labeled as A, B, C. How many degrees are in the sum of the measures of angles 1, 2, 3, 4, 5, 6, A, B, and C?

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