
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 cut by line $m$ from two parallel lines $l_1: x-y+1=0$ and $l_2: x-y+3=0$ is $2\sqrt{2}$, then the possible angle of inclination of $m$ can be __________.  
①15°　　　②30°　　③45°　④60°　　⑤75°．

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