
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
In $\triangle ABC, \overline{CA} = \overline{CB}$. On $CB$ a rectangle $BCDE$ is constructed away from the triangle such that $BC : CD = 1 : \sqrt{3}$. Let $x$ be the number of degrees in $\angle DAB$. Determine $x$.
**A)** $30^\circ$  
**B)** $45^\circ$  
**C)** $60^\circ$  
**D)** $90^\circ$  
**E)** $75^\circ$

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