
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
If the length of the segment intercepted by the line $m$ between two parallel lines $l_{1}: x+y=0$ and $l_{2}: x+y+ \sqrt {6}=0$ is $2 \sqrt {3}$, then the possible angle of inclination of $m$ can be  
$①15^{\circ}$   $②45^{\circ}$  $③60^{\circ}$  $④105^{\circ}⑤120^{\circ}$    $⑥165^{\circ}$  
The correct answer numbers are __________ (Write down all correct answer numbers).

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