
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 triangle $\triangle ABC$, side $AB$ is extended past $B$, and side $AC$ is extended past $C$, meeting at point $D$. Let $S$ be the degree-sum of angles $CDB$ and $DBC$, and let $S'$ represent the degree-sum of angles $BAC$ and $ABC$. If $r = S / S'$, then calculate $r$.
A) $r = 0.5$
B) $r = 1$
C) $r = 1.5$
D) $r = 2$

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