Question

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

Answer 1

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 :)