
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
Point $E$ is on side $BC$ of triangle $ABC$, such that $\angle BAE = 30^\circ$ and $\angle EAC = 20^\circ$. What is the measure of angle $ABE$, in degrees?

[asy]
draw((0,0)--(100,0)--(30,80)--cycle);
draw((30,80)--(60,0));
label("$A$", (30,80), N);
label("$B$", (0,0), W);
label("$C$", (100,0), E);
label("$E$", (60,0), S);
label("$30^\circ$", (32,60), NE);
label("$20^\circ$", (50,40), E);
[/asy]

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