
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
Three tangents to a circle are drawn from a point $D$. Each tangent touches the circle at points $E$, $F$, and $G$. The points divide the circle into arcs $EF$, $FG$, and $GE$ with lengths in the ratio of $3:4:5$. What is the degree measure of $\angle{EFG}$?
A) 30°
B) 45°
C) 60°
D) 75°

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