We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
Circles

Circles

Inscribed Angles Examples

Example 1

Given that ∠ACB is inscribed in a circle containing points A and B, and that m∠ACB = 23°, what is the measure of arc AB?

Example 2

Now suppose m∠ACB = 79°. What is the measure of arc AB?

Example 3

In the figure below, points A, B, and C are on ⊙O and m∠AOB = 138°. What is m∠ACB?

Example 4

Refer to the same figure as the previous example, but suppose instead that m∠AOB = 55°. What is m∠ACB?

Example 5

In the figure below, points A, B, C, and D are on the circle. The measure of arc AB = 80° and the measure of arc BC is 90°. What is m∠ADC?

Example 6

In the figure below, ΔABC is inscribed in the circle (meaning that each angle of ΔABC is inscribed in the circle). If m∠A = 70° and m∠C = 50°, what is the measure of arc AC?