Question

Solve for x. Explain your steps.

Answer 1

We are dealing with the problem of similar angles here. When two lines intersect, the opposite sides will have the same angle. As you can see, there are two triangles presented here. The Triangle on the right has only one unknown angle which we can calculate to be:

180- 34 -34 = 112

Therefore, since this is the same angle as (2x), we can say:

2x = 112
x = 56

Answer 2

2x+34+34=180