
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 triangle $ABC$, points $D$ and $E$ are on side $BC$ such that $BD = DE = EC$. Lines $\overline{AD}$ and $\overline{AE}$ are drawn. If angle $BAC = 40^\circ$ and angle $ABC = 70^\circ$, what is the measure of angle $DAE$?
A) $65^\circ$
B) $70^\circ$
C) $75^\circ$
D) $80^\circ$
E) $85^\circ$

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