
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
Given that point B is the vertex of three angles $\angle \text{ABC}$, $\angle \text{ABD}$, and $\angle \text{CBD}$, where $\angle \text{CBD}$ is a right angle and the total sum of angles around point B is $180^\circ$, and $\angle \text{ABD} = 30^\circ$, find the measure of $\angle \text{ABC}$.

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