Final answer:
The question appears to be about determining the angular momentum in a quantum mechanics context. Without clear context, we cannot solve for m LHI specifically. Based on provided information, the solution for L is L = √√2h when l is 1.
Step-by-step explanation:
The student's question involves finding the value of m LHI given that m DHG is 119°. However, without additional context, such as a diagram or further explanation of how LHI and DHG are related, we cannot provide a numerical answer. It seems there is a possibility this involves angular measurements which could be related to problems in geometry such as finding angles in polygons, supplementary angles, or angles created by intersecting lines.
It is also possible the question involves physics and angular momentum given the equation provided. Assuming the question is related to quantum mechanics, where m is the magnetic quantum number and l is the angular momentum quantum number then the equation provided suggests quantum angular momentum. To solve for L, we substitute l with 1 into the equation L = √√√/l(l + 1)ħ to find the angular momentum. This results in L = √√2h, where ħ is the reduced Planck's constant, and the solution involves taking the square root of the product l(l + 1), then multiplying by the reduced Planck's constant ħ.