Final answer:
The correct value of x and the measurement of angle AGH cannot be determined from the information provided, as the reference information does not correspond to the answer choices given.
Step-by-step explanation:
The question provided seems to be related to finding the value of x and subsequently using that to determine the measurement of an angle, specifically angle AGH. Given the provided values in the reference information, none of the answer choices (a, b, c, or d) directly correspond to the angle measurements or calculations shown in the reference info, such as 30.1°, 48.7°, or the calculations leading to approximately 31.1°. Without the specific context of how these values relate to the measurement of angle AGH or the value of x, the correct answer cannot be determined from the information given.