
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
Find the angles of a triangle given that all squares inscribed in it are equal (each square is inscribed such that two of its vertices lie on one side of the triangle and the other two vertices lie on the other two sides of the triangle).

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