The value of x in the diagram is 10. ( option B)
The adjascent side of angle 118, let it be y
118 + y = 180( angle on a straight line)
y = 180 - 118
y = 62°
The triangle is an isosceles triangle, there the adjascent angle of 2 is
180 - (62+62)
= 56°
therefore;
angle 2 + 56 = 180
angle 2 = 12x +4
12x + 4 = 180 - 56
12x = 124 - 4
12x = 120
x = 120/12
x = 10
Therefore the value of x is 10