
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
On a line, points \( X, Y, Z, \ldots \) are marked in this order, and isosceles triangles with angle \( \alpha \) at the vertex are constructed on segments \( XY, YZ, \ldots \) as bases. It turned out that all these vertices lie on a semicircle with diameter \( D \). Find \( \alpha \).

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