### Home > GC > Chapter 4 > Lesson 4.2.1 > Problem 4-56

4-56.

For each diagram below, solve for . Name the relationship(s) you used. Show all work.

Use the Pythagorean Theorem to solve for

.After solving for

, use the Pythagorean Theorem again to solve for.

Extend the parallel lines that have already been drawn.

Now establish a relationship between

and one of the angles that has already been given.Use the Math Notes boxes in Lessons 2.1.1 and 2.1.4 if you need help remembering angle pair relationships.