
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 the given diagram, what is the measure of $\angle ACB$? The diagram includes:
- Point $C$ placed on a linear extension past $B$, with an external point $D$ such that $B$ is between $A$ and $D$.
- $\angle ABD = 150^\circ$
- $\angle BAC$ measures $88^\circ$.
How many degrees are there in $\angle ACB$?

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