# Circles

### Example 1

Suppose an inscribed angle has a measure of 78°. What is the measure of the arc it intercepts?

### Example 2

An inscribed angle has a measure of 160°. What is the measure of the arc it intercepts?

### Example 3

An inscribed angle has a measure of 13°. What is the measure of the arc it intercepts?

### Example 4

An inscribed angle intercepts an arc of 124°. What is the measure of the inscribed angle?

### Example 5

An inscribed angle intercepts an arc of 180°. What is the measure of the inscribed angle?

### Example 6

An inscribed angle intercepts an arc of 95°. What is the measure of the inscribed angle?

### Example 7

In the figure below, points *A*, *B*, *C*, and *D* are on the circle. m∠*ADC* = 90° and m*AB* = 84°. What is m∠*CDB*?

### Example 8

In the figure below, points *A*, *B*, *C*, and *D* are on ⊙*O* and m∠*ABC* = 150°. What is m∠*AOC*?