
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 $A$, $B$, $M$, $N$, and $C$ are on a circle, and the measures of arcs $BM$ and $MN$ are $60^\circ$ and $24^\circ$, respectively. Find the sum of the measures of angles $R$ and $S$, where angle $R$ is formed at the intersection of lines $AB$ and $MC$, and angle $S$ is formed at the intersection of lines $AN$ and $BC$.

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