
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
In a small house in Portugal, the floor is tiled with quadrilateral tiles of the same shape and size (see picture). Find all four angles of the tile. Give your answer in degrees.

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