
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
Draw the external angle bisectors of all three angles of triangle $ABC$. The angles of the triangle formed by these external bisectors are $40^{\circ}, 65^{\circ}$, and $75^{\circ}$. What are the angles of the original triangle?

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