
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
Ajay moves from Pontianak, Indonesia, to a new location which is at $0^\circ$ latitude and $100^\circ \text{ E}$ longitude. Billy remains at Big Baldy Mountain, Idaho, USA, at $45^\circ \text{ N}$ latitude and $115^\circ \text{ W}$ longitude. Assume that the Earth is a perfect sphere with center $C$. What is the degree measure of $\angle ACB$?

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