
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 $\square B_1B_2B_3B_4$ be a square, and define $B_{n+4}$ to be the midpoint of the line segment $B_nB_{n+1}$ for all positive integers $n$. Find the measure of $\measuredangle B_{101}B_{102}B_{100}$.
A) $45^\circ$
B) $60^\circ$
C) $90^\circ$
D) $120^\circ$
E) $135^\circ$

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