Given:
Line GH bisects angle FGI, that means angle FGH = angle HGI
To Find:
the value of x and angle FGI
Solution:
angle FGH = angle HGI
6x - 11 = 4x + 7
or, 6x - 4x = 7 + 11
or, 2x = 18
or, x = 18/2 = 9
angle FGI = angle FGH + angle HGI
or, angle FGI = 6x - 11 + 4x + 7
or, angle FGI = 10x - 4
By putting the value of x, we get
angle FGI = 10(9) - 4
or, angle FGI = 90 - 4 = 86°
Answer:
The value of x is 9.
Angle FGI = 86°
