
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;

A=(0,0);
B=(5,0);
C=(10,0);
D=(4,7);

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

markangle(n=1,radius=8,C,B,D,marker(stickframe(n=0),true));
markangle(n=1,radius=8,A,B,D,marker(stickframe(n=0),true));

label ("$y^\circ$", shift(0.05, 0.5)*B);
label ("$103^\circ$", shift(0.55,0.65)*D);
label ("$34^\circ$", (0,0), SW);
label("$A$",A,S);
label("$B$",B,S);
label("$C$",C,S);
label("$D$",D,N);
[/asy]

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