Final answer:
The information provided is insufficient to accurately determine the value of k as it is unclear how it relates to the sum of angle measures in a triangle or the given sine equation. Further context is required to establish a relationship or perform substitution.
Step-by-step explanation:
The question seems to be related to trigonometry, particularly to finding the value of a variable k within the context of a given equation involving sine functions or related to simply finding the measures of angles in a triangle. The information provided is somewhat fragmented and lacks clarity regarding how k is directly involved with the angle measures or the sine equation.
However, if we're looking at the sum of angle measures in a triangle, we know that it must equal 180 degrees. If the problem involves finding the value of k that makes the equation true, we may need additional information or context to establish a relationship or perform substitution.
Without further context or additional information, it's difficult to provide a definitive step-by-step solution for finding the value of k. If more details about the roles of k in the equations are provided, it would help in solving the problem accurately.