
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
A right triangle $ABC$ ($\angle ABC = 90^\circ$) shares a common side $BC$ with a square $BCDE$, as illustrated. What is the number of degrees in $\angle DAE$?
```
[asy]
pair pA, pB, pC, pD, pE;
pA = (0, 0);
pB = pA + dir(270);
pC = pB + dir(0);
pD = pC + dir(90);
pE = pB + dir(90);
draw(pA--pB--pC--pA);
draw(pB--pC--pD--pE--pB);
label("$A$", pA, NW);
label("$B$", pB, S);
label("$C$", pC, E);
label("$D$", pD, NE);
label("$E$", pE, N);
[/asy]
```

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