A bisecting ling cuts the angle in the middle, so both sides of the bisecting line are identical.
Set the equations to equal each other to solve for x:
4x-9 = 5x-17
Subtract 4x from both sides:
-9 = x -17
Add 17 to both sides:
x = 8
Now you have a value for x, replace x in the equations and solve:
HGI = 5x-17 = 5(8) - 17 = 40-17 = 23
FGI = 4x-9 = 4(8) - 9 = 32-9 = 23
a. X = 8
b. 23
c. 23