x = 8
GDH = 126°
FDH = 54°
FDE = 74°
So we know that CDF is 43 and can write that down. Since DE bisects GDH, we can figure out what GDE and EDH are because they will be equivilent.
8x - 1 = 6x + 15
(add 1 to both sides & subtract 6x from both sides)
2x = 16
(divide both sides by 2)
x = 8
Now that 8 = 8, we can easily figure everything else out.
GDH Solve for one of the two-equation angles, I'm going to chose GDE.
8(8)-1 = 64 - 1 = 63
63 + 63 = 126 = GDH
FDH 160 - 43 - 63 = 54 = FDH
FDE 180 - 63 - 43 = 74 = FDE
(hopefully this is correct! There are more than one way to do it, this is how I did it. Have a nice day!)
