
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
Rachel measures the angles of a certain pentagon \(A B C D E\) in degrees. She finds that \(\angle A < \angle B < \angle C < \angle D < \angle E\), and also that the angle measures form an arithmetic progression, meaning that \(\angle B - \angle A = \angle C - \angle B = \angle D - \angle C = \angle E - \angle D\).

What was the measure of \(\angle C\)?

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