
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
Points $A$, $B$, $R$, $D$, and $C$ lie on a circle. The measures of arcs $BR$ and $RD$ are $48^\circ$ and $52^\circ$, respectively. Let $S$ be the point of intersection of lines $AD$ and $BC$. Find the sum of the measures of angles $S$ and $R$, in degrees.

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