Inscribed Angles and Intercepted Arcs

In circle C, Jerry claims that angles D and E are congruent. Which circle theorem justifies his claim to be true?

• The angle in a semicircle theorem.

• Angles in the same segment theorem.

• Alternate segment theorem.

• Angle at the center theorem.

In the diagram, points A, B, and C are on the circle. Use the given information to determine m∠ACB.

• m∠ACB = 33°

• m∠ACB = 49°

• m∠ACB = 45°

• m∠ACB = 98°

What is the measure of ∠WZB?

• 72°

• 78°

• 82°

• 90°

What is the measure of ∠SVZ?

• 102°

• 100°

• 98°

• 108°

In the diagram shown, MN is a diameter. The measure of ∠MNB is 58°. Part A: What is m∠BMN?

• 32°

• 36°

• 26°

• 42°

In the diagram shown, MN is a diameter. The measure of ∠MNB is 58°. Part B: What is m∠BAM?

• 58°

• 64°

• 112°

• 116°

In the diagram, m∠WBP is 62°. Line BP is tangent to the circle at point B. Use circle theorems to determine the measure of WS.

• 60°

• 120°

• 124°

• 142°

• 158°

• 79°

• 202°

• 360°

Find the indicated measure.

• 360°

• 180°

• 90°

• 25°

• 40°

• 18°

• 320°

• 80°