
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 $ABC$, angle $BAC$ measures $40^\circ$, and $\overline{AD}$ bisects angle $BAC$. A line segment $\overline{DC}$ further bisects angle $ACB$. If $\angle ABC = 70^\circ$, find the measure of angle $ADC$.
A) $90^\circ$
B) $100^\circ$
C) $115^\circ$
D) $122.5^\circ$
E) $125^\circ$

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