
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
Two overlapping triangles ABC and DEF are drawn such that vertex A of triangle ABC coincides with vertex D of triangle DEF, vertex B coincides with E, and vertex C coincides with F. Each pair of overlapping vertices forms an angle. There are four additional distinct points G, H, I, and J such that triangle GHI overlaps with triangle JIG with vertices G, I, and J coinciding respectively. Calculate the total degrees in the sum of the measures of all the numbered angles in these configurations.

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