
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
Given an equilateral triangle $\triangle B_1B_2B_3$, for each positive integer $k$, point $B_{k+3}$ is the reflection of $B_k$ across the line $B_{k+1}B_{k+2}$, determine the measure of $\measuredangle B_{47}B_{45}B_{46}$.

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