Answer:
Michaels' proof is wrong. His second point says that ∠AKG ≈ ∠AKL with the Vertical Angles Theorem as his justification, which is incorrect. Angles AKG and AKL are not vertically opposing angles, but they form a linear pair, so in this case, Daniels's proof is correct.
Explanation:
Please correct me if I'm wrong :)