
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
A regular pentagon is placed inside a regular octagon sharing a common side. Determine the degree measure of $\angle ABC$ in this configuration.
[asy]
size(150);
pair A, B, C, D, E, F, G, H, I;
A=(0,0.707);
B=(0.5,1.207);
C=(1.5,1.207);
D=(2,0.707);
E=(2,0);
F=(1.5,-0.5);
G=(0.5,-0.5);
H=(0,0);
I=(1,1.207);
draw(A--B);
draw(B--C);
draw(C--D);
draw(D--E);
draw(E--F);
draw(F--G);
draw(G--H);
draw(H--A);
draw(G--B);
draw(B--I);
draw(I--E);
label("A", C, N);
label("B", D, E);
label("C", I, N);
[/asy]

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