
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 a new configuration, a bridge consists of a wooden plank supported by two triangular wedges with equal heights. The vertex angles of the triangles have changed such that $\angle BAC = 25^\circ$ and $\angle EDF = 40^\circ$. Given that $AB = AC$ and $DE = DF$, determine the sum of $\angle DAC + \angle ADE$.

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