
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
Consider that Lily is at point $L$ on Earth at coordinates $0^\circ$ latitude and $45^\circ \text{ E}$ longitude. Kim is at point $K$ at coordinates $60^\circ \text{ N}$ latitude and $30^\circ \text{ W}$ longitude. Assume Earth is a perfect sphere with center $O$. Determine the degree measure of $\angle LOK$.

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