
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 $A$, $B$, $R$, $S$, and $C$ lie on a circle. The measures of arcs $BR$ and $RS$ are $48^\circ$ and $36^\circ$, respectively. Point $D$ also lies on the same circle, and the measure of arc $SC$ is $60^\circ$. Find the sum of the measures of angles $P$ and $Q$, in degrees, where angle $P$ is subtended by arc $RS$ and angle $Q$ is subtended by arc $SC$.

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