
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 a circle $P$, angle $MBC$ measures 60 degrees. What is the measure of minor arc $MB$ in degrees? [asy]
import olympiad; size(150); defaultpen(linewidth(0.8)); dotfactor=4;
draw(unitcircle);
draw(dir(120)--(-1,0)--(1,0));
dot("$B$",(-1,0),W); dot("$M$",dir(120),N); dot("$C$",(1,0),E); dot("$P$",(0,0),S);
[/asy]

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