
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 regular pentagon and a square are inscribed in a circle. They share a common vertex. What is the number of degrees in the measure of the angle indicated by the question mark, if the angle is part of the triangle formed by two vertices of the pentagon and one vertex of the square?

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