
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
(F.Nilov) Given right triangle  $ ABC$  with hypothenuse  $ AC$  and  $ \angle A \equal{} 50^{\circ}$ . Points  $ K$  and  $ L$  on the cathetus  $ BC$  are such that  $ \angle KAC \equal{} \angle LAB \equal{} 10^{\circ}$ . Determine the ratio  $ CK/LB$ .

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