Question

Please help this is the 3rd time posting this today. Awarding 30 points.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
−−→
DF

bisects
∠EDG
. Find FG. The diagram is not to scale.

Answer 1

"FG = 14 is the answer

The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.

This implies that:

n + 9 = 4n - 6

Collect like terms

n - 4n = -9 - 6

-3n = -15

Divide both sides by -3

n = -15/-3

n = 5

✔️FG = 4n - 6

Plug in the value of n

FG = 4(5) - 6

FG = 20 - 6 = 14"