
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 square is constructed on one side of a regular octagon, outward. In the octagon, two diagonals intersect at point \( B \) (see the drawing). Find the measure of angle \( ABC \). 

(A polygon is called regular if all its sides are equal and all its angles are equal.)

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