The value of x in the figure . . .

Question : The value of x in the figure is:

a) 230°

b) 100°

c) 120°

d) 115°

Doubt by Lakshay

Solution : 

We know, 
sum of all the angles around a point is 360° (Complete Angle)

So
x+120°+(x+10°)=360°
2x+130°=360°

2x=360°-130°
2x=230°
x = 230°/2
x = 115°

Hence, d) would be the correct option.