Final answer:
The question seeks the length of side g in triangle AEFG but does not provide enough information to calculate it using trigonometric laws such as the Law of Sines. Additional data about the triangle is required to find the length of g.
Step-by-step explanation:
The student is asking to find the length of side g of triangle AEFG using the given lengths of sides e and f and the measure of ∠G. To find the length of side g, we can use the Law of Sines which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is the same for all sides and angles in the triangle:
\(\frac{f}{sin(G)} = \frac{g}{sin(E)}\)
However, we do not have enough information to apply the Law of Sines directly, as the measure of ∠E and the length of side g are unknown. More information about the triangle is needed, such as the length of another side or the measure of another angle, to apply trigonometric laws or theorems appropriately. Without additional data, the length of side g cannot be determined.