
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, what is the measure of $\angle AEC$ in degrees? [asy]
size(250);
draw((-100,0)--(0,0));
draw((0,0)--(50.3,60.6)--(200,0)--cycle);
draw((50.3,60.6)--(-100,0));
label("$A$",(50.3,60.6),N);
label("$108^\circ$",(50.3,57),S);
label("$150^\circ$",(-100,0),NE);
label("$B$",(0,0),S);
label("$E$",(-100,0),S);
label("$C$",(200,0),S);
[/asy]

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