
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 made of metal. The triangles are positioned with their apices facing each other, and a horizontal beam connects these apices. The triangles are described as follows: $\triangle ABC$ with $AB = AC$ and $\triangle DEF$ with $DE = DF$. The vertex angles are given as $\angle BAC = 40^\circ$ and $\angle EDF = 50^\circ$. Determine the sum $\angle DAC + \angle DAE$.

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