
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
Shown below is a clock face with no hands. What is the degree measure of the smaller angle formed by the hands of a clock at 5 o'clock?
[asy]
/* New Problem Example */
draw(circle((0,0),10),linewidth(1));
dot((0,0));

label("1",8dir(60));
label("2",8dir(30));
label("3",8dir(0));
label("4",8dir(-30));
label("5",8dir(-60));
label("6",8dir(-90));
label("7",8dir(-120));
label("8",8dir(-150));
label("9",8dir(180));
label("10",8dir(150));
label("11",8dir(120));
label("12",8dir(90));

for(int i = 1; i< 13; ++i)
{
    draw(9dir(30i)--10dir(30i));
}
[/asy]

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