
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
A circular sheet of paper with radius $BC$ has a sector removed. The remaining portion is used to form a cone by connecting edge $BC$ with $BA$ to form a cone of radius 15 centimeters and volume $2025\pi$ cubic centimeters. Determine the number of degrees in the angle measure of sector $ABC$ which is not used in forming the cone.

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