
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 $ABC$, side $AB$ is equal to 2, and the angles at $A$ and $B$ are $60^\circ$ and $70^\circ$ respectively. A point $D$ is taken on side $AC$ such that $AD = 1$. 

Find the angles of triangle $BDC$.

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