
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
Consider a configuration where triangle ABC and triangle DEF overlap such that they share a common side, BC, which is also side EF, forming a quadrilateral. The diagram labels angles as follows: angle A in triangle ABC, angle B (shared by both triangles), angle C in triangle ABC, angle D in triangle DEF, angle E (shared by both triangles), and angle F in triangle DEF. Calculate the sum of the measures of these six angles.

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