
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
Given a convex pentagon \(ABCDE\) with the properties \(AB = BC\), \(CD = DE\), \(\angle ABC = 150^\circ\), \(\angle CDE = 30^\circ\), and \(BD = 2\), find the area of pentagon \(ABCDE\).

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