
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 circle with center $O$ is divided into $15$ equal arcs, labeled $A$ through $O$. Calculate the number of degrees in the sum of angles $x$ and $y$ if angle $x$ is subtended by 3 arcs and angle $y$ is subtended by 5 arcs.
A) 75 degrees
B) 84 degrees
C) 96 degrees
D) 108 degrees
E) 120 degrees

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