
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 clock face is designed with 12 rays emanating from the center, creating 12 equal central angles. Each adjacent ray thus forms an angle of $\frac{360^\circ}{12}=30^\circ$. If one of the rays points directly East (3 o'clock position) and we are interested in the angle between this ray pointing East and another ray pointing to the Northwest. Calculate this angle.

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