
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 pentagon \(ABCDE\), angles \(A\) and \(B\) are \(108^\circ\) and \(72^\circ\) respectively. Angles \(C\) and \(D\) are equal. The measure of angle \(E\) is three times the measure of angle \(C\). Calculate the measure of the largest angle in the pentagon.

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