
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
A circular dartboard is divided into sections. Suppose you know the probability of a dart randomly hitting one particular region is $\frac{1}{8}$. Another larger region has double the probability of being hit compared to the first region. Determine the central angle in degrees for the two regions.

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