
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
Five points are evenly spaced on a circle and connected as shown below to form a 5-pointed star. Each tip of the star forms an angle. Find the sum of the angle measurements of the five tips of the star, in degrees. Assume that one such angle is marked as $\beta$.

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