
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 using two isosceles triangles and a straight plank. The triangles are positioned such that their bases are on the ground and their equal sides meet at the top where the plank rests. The triangles are described as follows: $\triangle ABC$ and $\triangle DEF$ where $AB = AC$ and $DE = DF$. The vertex angles are given as $\angle BAC = 25^\circ$ and $\angle EDF = 35^\circ$. Calculate $\angle DAC + \angle ADE$.

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