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I think reasoning not provided in answer, hence considered a fluke.
Reasoning will be exterior angle (∠LMK) = sum of 2 opposite interior angle (∠MKN + ∠MNK)

Alternative solution
∠KLN = ∠LKN = 60° (equilateral triangle)
∠LKM = 180° – 105° – 60° = 15° (sum of angles in a triangle)
∠MKN = 60° – 15° = 45°

 

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