
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;

A=(0,0);
B=(5,0);
C=(9,0);
D=(3.8,6);
E=(3.5,8);
F = 0.5 * (B + D);

path p;
p = B--D--E--cycle;

draw (A--B--C--B--D--A);
draw (p);
markangle(n=1,radius=9,B,D,E,marker(stickframe(n=0),true));

label("$A$", A, S);
label("$B$", B, S);
label("$C$", C, S);
label("$D$", D, NW);
label("$E$", E, N);
label("$y^\circ$", shift(0.2,0.1)*B);
label("$115^\circ$", F, NW);
label("$30^\circ$", shift(3,7)*B,N);
[/asy]

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