
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
Find the number of degrees in the measure of angle $y$.

[asy]
import markers;
size (5cm,5cm);
pair A,B,C,D,E,F,G;

A=(0,0);
B=(5,0);
C=(9,0);
D=(4,7);
E=(4,-7);

draw (A--B--C--D--A);
draw (B--D);
draw (A--E--B);

markangle(n=1,radius=6mm,C,B,D,marker(stickframe()));
markangle(n=1,radius=6mm,A,B,E,marker(stickframe()));

label ("$y^\circ$", shift(1.3,0.65)*A);
label ("$120^\circ$", shift(1.2,1)*B);
label ("$30^\circ$", shift(-1,-0.2)*E);
[/asy]

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