
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 with center $P$, angle $LBU$ measures 58 degrees. What is the measure of minor arc $LB$ in degrees?
[asy]
import olympiad; size(150); defaultpen(linewidth(0.8)); dotfactor=4;
draw(unitcircle);
draw(dir(104)--(-1,0)--(1,0));
dot("$L$",(-1,0),W); dot("$B$",dir(104),NNE); dot("$U$",(1,0),E); dot("$P$",(0,0),S);
[/asy]

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