
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
From point \( A \) located outside a circle with center \( O \), two tangents \( AB \) and \( AC \) are drawn (\( B \) and \( C \) are points of tangency). The segment \( AO \) intersects the circle at point \( D \) and with segment \( BC \) at point \( F \). Line \( BD \) intersects segment \( AC \) at point \( E \). It is known that the area of the quadrilateral \( DECF \) is equal to the area of triangle \( ABD \).

Find the angle \( \angle OCB \).

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