### Home > CCG > Chapter 6 > Lesson 6.2.5 > Problem 6-96

6-96.

For each part below, decide if the triangles are similar. If they are similar, use their similarity to solve for . If they are not similar, explain why not.

The triangles share a common angle and parallel lines have congruent corresponding angles, so the triangles are similar by

.

Is there enough information to prove that the triangles are similar?

Vertical angles are equal, so

.

Parallel lines have equal alternate interior angles, so.

Triangles are similar by.