
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
Point $D$ is on side $AC$ of triangle $ABC$, where $\angle ABD = 20^\circ$ and $\angle DBC = 40^\circ$. If $\angle ACB = 70^\circ$, find the measure of angle $BAD$, in degrees.

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