Answer:
x = 19
Explanations:
Triangle DFG is a right angled triangle
Triangle DEF is also a right angled triangle
Since DF bisects EDG:
< EDF =
Sin θ = Opposite / Hypotenuse
Sin 16 = (9x + 114) / DF.........(1)
Sin 16 = 15x / DF............(2)
Equating equations (1) and (2)
9x + 114 = 15x
15x - 9x = 114
6x = 114
x = 114/ 6
x = 19