Consider that lines B and C are parallel. What is the value of x? What is the measure of the smaller angle?

The angles labeled are same side exterior which means that they are supplementary.

They both add up to 180.

2x + 18 + 6x + 26 = 180
8x + 44 = 180
8x = 136
x = 17

So x is 17.

Now to find The value of the smaller angle use 17 for x.

2(17) + 18
34 + 18
52

Hope this helps :)