Final answer:
Without further context, the value of x would be 6 when setting the line segments EF and FG equal to each other. But since the given options do not match this result, we are likely missing context or there could be a typo in the question.
Step-by-step explanation:
We are given that EF = 4x + 15 and FG = 39. Since EF and FG are both lengths along the same line and are possibly equivalent (but that's not definitively stated in the question), we may be tempted to set them equal to each other. However, the presence of the angle measurement ∠G = 110 degrees suggests this problem may involve geometry concepts, but that angle does not provide a direct relationship to the line segment measurements in the current context.
To find the value of x, we can set EF equal to FG if they are intended to be the same segment (EF = FG) as follows:
4x + 15 = 39
Upon solving for x, we subtract 15 from both sides:
4x = 39 - 15 = 24
Then, dividing both sides by 4 gives us:
x = 24 / 4 = 6.
However, since option (x = 6) is not provided, there might be a typo or misinterpretation in the question. Without further context, we can't proceed to a correct answer based on the provided options.