
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
The vertices of the broken line \( A B C D E F G \) have coordinates \( A(0, -5), B(3, 7), C(4, -6), D(-2, 6), E(6, 1), F(-3, 0), G(7, 6) \).

Find the sum of the angles at the vertices \( B, E, C, F, D \).

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