
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 from a point $A$ are drawn, touching the circle at points $B$ and $C$. The total circle is divided into arcs by points $B$ and $C$ in the ratio $3:5$. Find the degree measure of $\angle{BAC}$.
A) 48°
B) 60°
C) 67.5°
D) 72°
E) 90°

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