
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 constructed by linking a wooden plank between two triangular supports, as shown in the diagram below:

```
[Drawing not to scale]
       A         D
       /\        /\
      /  \      /  \
     /    \    /    \
    B------C  E------F
```
Both triangles are isosceles with equal heights, such that AB = AC and DE = DF. The apex angles of the triangles are $\angle BAC = 25^\circ$ and $\angle EDF = 35^\circ$. Determine the sum $\angle DAC + \angle ADE$.

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