
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 setup, triangle ABC and triangle DEF overlap at point B, which is identical to point E. If angle A in triangle ABC is $40^\circ$ and angle C is $70^\circ$; and angle D in triangle DEF is $50^\circ$ and angle F is $60^\circ$, how many degrees are in the total sum of angles A, B, C, D (or E), and F?

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