
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
Two tangents to a circle are drawn from a point $A$. The points of contact, $B$ and $C$, divide the circle into arcs with lengths in the ratio $3:4$. What is the degree measure of $\angle{BAC}$?
A) 44.57°
B) 48.57°
C) 51.43°
D) 54.29°
E) 57.14°

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