
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 bridge is structured by aligning a wooden plank between two isosceles triangular supports. Here’s the diagram:
```
         A         D
        / \       / \
       /   \     /   \
      B-----C   E-----F
```
Given $AB = AC$ and $DE = DF$, and with $\angle BAC = 15^\circ$ and $\angle EDF = 45^\circ$, determine the sum $\angle DAC + \angle ADE$.

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