Final answer:
The subject matter of the question relates to high school-level mathematics, focusing on geometry and trigonometry.
Step-by-step explanation:
The question provided involves calculation using angles and trigonometry, suggesting it pertains to a mathematics subject, specifically geometry or trigonometry. It is likely designed for high school level students, as the concepts of angle measurement and trigonometric functions are typically covered at this educational stage.
The question asks about the measures of angles KNM and MNJ, which can be represented as 8x - 5 and 4x - 19, respectively.
To find the value of x, we can set the two angles equal to each other: 8x - 5 = 4x - 19.
Solving this equation, we get x = -7.