
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 $\triangle ABC$, angle $\angle A$ measures $30^\circ$ and angle $\angle B$ measures $70^\circ$. An altitude from vertex $C$ to base $AB$ divides vertex angle $C$ into two parts, $C_1$ adjacent to $A$ and $C_2$ adjacent to $B$. Calculate the difference $C_1 - C_2$ in degrees.
A) $20^\circ$
B) $30^\circ$
C) $40^\circ$
D) $50^\circ$
E) $60^\circ$

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