
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
The diagram shows four identical white triangles symmetrically placed on a grey square. Each triangle is isosceles and right-angled. The total area of the visible grey regions is equal to the total area of the white triangles. What is the smallest angle in each of the (identical) grey triangles in the diagram?

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