
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
Inside the triangle \( ABC \), where \( \angle C = 70^\circ \) and \( \angle B = 80^\circ \), a point \( M \) is taken such that the triangle \( CMB \) is equilateral. Find the angles \( MAB \) and \( MAC \).

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