### Home > GC > Chapter 10 > Lesson 10.3.1 > Problem10-93

10-93.

For each diagram below, write an equation to represent the relationship between $x\text{ and }y$.

1. What is the relationship between angles created by parallel lines?

$x = y$

1. What is the relationship between central and inscribed angles?

1. Look at the triangles formed by the chords. How are they similar? How can this help you?

$3y = 5x$

1. Look at the inscribed angles. What is their relationship to the arc? How can this help you?

Recall that the measure for inscribed angles is half the arc it intercepts.

$x+y=180°$