
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 diagram, $\angle ABD = 120^\circ$ and $\angle BAE = 60^\circ$. Point $A$ is on a plane with points $B$, $C$, $D$, and $E$ where $D$, $B$, $E$, and $C$ are collinear in that order and $E$ is between $B$ and $C$. Given $\angle BAC = 95^\circ$, find the measure of $\angle ACB$. [asy]
size(250);
draw((-60,0)--(0,0));
draw((0,0)--(64.3,76.6)--(166,0)--cycle);
label("$A$",(64.3,76.6),N);
label("$95^\circ$",(64.3,73),S);
label("$120^\circ$",(0,0),NW);
label("$B$",(0,0),S);
label("$D$",(-60,0),S);
label("$C$",(166,0),S);
label("$E$", (83,0), S);
[/asy]

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