
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 lines  $m$ ,  $n$ , and  $\ell$  lie in a plane such that no two are parallel. Lines  $m$  and  $n$  meet at an acute angle of  $14^{\circ}$ , and lines  $m$  and  $\ell$  meet at an acute angle of  $20^{\circ}$ . Find, in degrees, the sum of all possible acute angles formed by lines  $n$  and  $\ell$ .

*Ray Li*

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