
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
Quadrilateral $ABCD$ is inscribed in a circle. Triangle $ABC$ and triangle $ADC$ are similar, and the sides $AB$ and $DC$ are proportional to $BC$ and $AD$ respectively. The internal angles at $B$ and $D$ form an arithmetic progression with $B$, $D$, and the angle at $A$ is twice the angle at $C$. In degrees, what is the closest possible sum of the two largest angles of $ABCD$?
A) 212
B) 224
C) 232
D) 240

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