
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
Let $\triangle A_1A_2A_3$ be an isosceles triangle with $\angle A_1 = 100^\circ$ and $A_2A_3 = A_3A_1$. If $A_{n+3}$ is defined such that $A_{n+3}$ is the midpoint of line segment $A_nA_{n+2}$ for all positive integers $n$, what is the measure of $\angle A_{44}A_{45}A_{43}$?
A) $60^\circ$
B) $80^\circ$
C) $100^\circ$
D) $120^\circ$
E) $140^\circ$

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