
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 placed inside a regular octagon in such a way that one side of the square coincides with one side of the octagon. Determine the degree measure of $\angle ABC$, where points $A, B, C$ are as follows: $A$ and $B$ are consecutive vertices of the octagon, $C$ is a vertex of the square on the line extended from side $AB$ of the octagon.

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