
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
Eight points are evenly spaced on a circle and connected in such a way to form an 8-pointed star as shown below. What is the sum of the angle measurements of the eight tips of the star, where each tip is marked as $\theta$?

[Insert diagrammatic representation similar to the problem but with 8 points]
(As there is no access to graphical input, imagine linking alternate points, i.e., jumping over one point each time to form the star).

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