
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]


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Two isosceles triangles are placed side-by-side with their bases on the same line. If $\triangle ABC$ and $\triangle DEF$ are such triangles with $AB = AC$, $DE = DF$, $\angle BAC = 25^\circ$, and $\angle EDF = 40^\circ$, find the sum $\angle DAC + \angle ADE$.

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