Intercepted Arcs and Angles Worksheet

Intercepted Arcs and Angles

Read each question carefully and answer to the best of your ability. Show all work where applicable.

1. What is the measure of a central angle if its intercepted arc measures 70 degrees?

2. An inscribed angle intercepts an arc of 120 degrees. What is the measure of the inscribed angle?

3. The measure of an inscribed angle is   the measure of its intercepted arc.

4. A central angle is an angle whose vertex is at the   of the circle.

5. In a circle, if an inscribed angle and a central angle intercept the same arc, how do their measures relate? Explain your reasoning.

6. In the circle below, if the measure of arc AC is 80 degrees, what is the measure of inscribed angle ABC?

7. If two inscribed angles intercept the same arc, then they are congruent.