
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 an isosceles triangle \( \triangle ABC \) with \( \angle B \) and \( \angle C \) both equal to \( 80^\circ \). The Ceva lines \( BD \) and \( CE \) divide \( \angle B \) and \( \angle C \) respectively, such that \( \angle DBC = 60^\circ \) and \( \angle ECB = 50^\circ \). Find \( \angle EDB \).

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