
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 pentagon $ABCDE$, the interior angles form an arithmetic progression. Triangles $ABE$ and $CDE$ are similar with $\angle EAB = \angle ECD$ and $\angle ABE = \angle CDE$. The angles in each of these two triangles also form an arithmetic progression. What is the largest possible sum of the two largest angles of $ABCDE$?
A) 320° 
B) 340° 
C) 350° 
D) 360° 
E) 370°

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