Question

How to Find angles Mark by Letters?The lines are parallel.

Answer 1

You know that the lines are parallel and they are intersected by a transversal.

Then, it is important to remember the following pair of angles:

1. Vertical angles are congruent. They share the same vertex.

2. Corresponding angles are congruent. They are located on the same side of the transversal. One angle is exterior and the other angle is interior. They are non-adjacent angles.

In this case, you can identify that the angle "b" and the angle that measures 130 degrees are Corresponding angles. Then:

`b=130\degree`

You can also identify that the angle "b" and the angle "c" are Vertical angles. Then:

`b=c=130\degree`

Therefore, the answer is:

`\begin{gathered} b=130\degree \\ c=130\degree \end{gathered}`