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Circles

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 mAB = 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?

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