Question

DF bisects EDG Find the value of x. The diagram is not to scale.

Answer 1

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