
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 $\angle BAC$ in degrees? 
[asy]
size(250);
draw((0,0)--(80,0));
draw((0,0)--(34.6, 91.6)--(120,0)--cycle);
label("$A$", (34.6, 91.6), N);
label("$85^\circ$", (34.6, 88), S);
label("$145^\circ$", (0,0), NE);
label("$B$", (0,0), S);
label("$E$", (80,0), S);
label("$C$", (120,0), S);
[/asy]

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