
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 the ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \ (a>b>0)\), let the left focus be \(F\), the right vertex be \(A\), and the endpoint on the upper side of the minor axis be \(B\). If the eccentricity of this ellipse is \(\frac{\sqrt{5}-1}{2}\), then find \(\angle ABF\).

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