
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
In a new diagram, $\triangle ABC$ is given where $\angle BAC = 95^\circ$ and $\angle ABC = 55^\circ$. There is another point $D$ on the extension of line segment $BC$ such that $C$ is between $B$ and $D$. If $\angle ABD = 125^\circ$, what is the measure of $\angle ACB$ in degrees?

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