
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 the circular segment \( A M B \), a trapezoid \( A C D B \) is inscribed, where \( A C = C D \) and \( \angle C A B = 51^\circ 20^\circ \). Find the angular measure of arc \( A M B \).

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