
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
The pentagon \( A B C D E \) is inscribed around a circle.

The angles \( \angle A B C \), \( \angle B A E \), and \( \angle C D E \) each measure \( 104^\circ \). Find \( \angle A D B \). Provide the answer in degrees (only the number, without units).

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