
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 a geometric configuration, there are two separate triangles formed by connecting points A, B, C and points D, E, F, respectively. If each triangle is labeled with three angles at points A, B, C as angles 1, 3, 5 and at points D, E, F as angles 2, 4, 6, calculate the sum of all these six angles.

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