
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
Suppose a regular hexagon and an equilateral triangle share a common side in a plane. What is the degree measure of $\angle ABC$, where $A$, $B$, and $C$ are consecutive vertices of this configuration with $B$ as the mutual vertex of both shapes? The triangle is inside the hexagon such that one side of the triangle lies along one side of the hexagon.

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