Arc Measures Worksheet

Arc Measures

Read each question carefully and provide your answer in the space provided. Show all your work for full credit.

1. In the circle below, O is the center. If m∠AOB = 75°, what is the measure of arc AB?

2. An inscribed angle's measure is always   the measure of its intercepted arc.

3. If an inscribed angle intercepts a semicircle, then the angle must be a   angle.

4. In circle P, chord AB is congruent to chord CD. If m arc AB = 110°, what is m arc CD?

5. What is the measure of an arc intercepted by an inscribed angle of 40°?

6. A major arc has a measure greater than 180°.

7. In a circle, if a tangent segment and a secant segment are drawn from an external point, and the secant intersects the circle at points A and B, and the tangent touches the circle at point C, describe the relationship between the measure of the angle formed by the tangent and secant and the intercepted arcs.