
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 triangle shown below, what is the measure of $\angle ACB$? Assume the following angles are given in the diagram:
1. $\angle BAD = 150^\circ$
2. $\angle BAC = 80^\circ$

[asy]
size(250);
draw((0,0)--(64.3,76.6)--(166,0)--cycle);
draw((0,0)--(32.15,38.3)--(166,0));
label("$A$", (64.3,76.6), N);
label("$150^\circ$", (0,0), NW);
label("$B$", (0,0), S);
label("$D$", (32.15,38.3), NE);
label("$C$", (166,0), S);
[/asy]

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