
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
Triangle $DEF$ is inscribed in a circle. The measure of the non-overlapping minor arcs $DE$, $EF$, and $FD$ are, respectively, $x+80^{\circ}$, $2x+30^{\circ}$, and $3x-25^{\circ}$. Find one interior angle of the triangle.
A) 60.5°
B) 61°
C) 60.8°
D) 62°

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