
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
The circumference of a circle with center $O$ is divided into $16$ equal arcs, marked with letters $A$ through $P$. Angles $x$ and $y$ are defined by segments joining points on these arcs with the center. Angle $x$ subtends three arcs, and angle $y$ subtends five arcs. What is the number of degrees in the sum of angles $x$ and $y$?
A) $75^\circ$
B) $80^\circ$
C) $90^\circ$
D) $105^\circ$
E) $120^\circ$

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