
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 \( \triangle ABC \), \( AB = AC \), \( \angle A = 80^\circ \), and point \( D \) is inside the triangle such that \( \angle DAB = \angle DBA = 10^\circ \). Find the measure of \( \angle ACD \).

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