
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 diagram, wheel \( B \) touches wheel \( A \) and wheel \( C \). Wheel \( A \) has radius \( 35 \text{ cm} \), wheel \( B \) has radius \( 20 \text{ cm} \), and wheel \( C \) has radius \( 8 \text{ cm} \). If wheel \( A \) rotates, it causes wheel \( B \) to rotate without slipping, which causes wheel \( C \) to rotate without slipping. When wheel \( A \) rotates through an angle of \( 72^\circ \), what is the measure of the angle through which wheel \( C \) rotates?

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