
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
In quadrilateral $PQRS$, the internal angles form an arithmetic progression. Triangles $PQR$ and $QRS$ are similar with $\angle QRP = \angle QSR$ and $\angle PRQ = \angle SRQ$. Moreover, the angles in each of these triangles also form an arithmetic progression. What is the largest possible sum of the two largest angles of $PQRS$, if the smallest angle in $PQRS$ is $30^\circ$?
A) $220^\circ$
B) $240^\circ$
C) $260^\circ$
D) $280^\circ$

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