
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
Consider a square $B_1B_2B_3B_4$ where each side measures 1 unit. For each $n \geq 1$, define $B_{n+4}$ as the midpoint of $B_nB_{n+2}$. Determine the measure of $\measuredangle B_{45}B_{46}B_{44}$.

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