
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
Five non-overlapping equilateral triangles meet at a common vertex so that the angles between adjacent triangles are all congruent. What is the degree measure of the angle between two adjacent triangles?

[asy]
size(100);
defaultpen(linewidth(0.7));
path equi=dir(300)--dir(240)--origin--cycle;
for(int i=0;i<=4;i=i+1)
draw(rotate(72*i,origin)*equi);
[/asy]

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