
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
Two diagonals emanating from the same vertex of a regular pentagon divide it into three triangles. Find the ratio of the area of the triangle bounded by these two diagonals to the sum of the areas of the other two triangles.

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