Question 1, A central angle is an angle whose vertex is at the center of a circle. Find the mAngle AOC.

1. Given that OB bisects angle AOC, use the diagram above to complete the following statement.

mAngle AOB = mAngle _
2. Find the mAngle BOC. Explain your answer.

3. Find the mAngle AOC. Show your work.

Question 2, An arc is a smooth piece of a circle. A major arc of a circle is an arc that is longer than half the circumference of the circle. Find the measure of the major arc ABC.

1. The mAngle ABC is equal to/one half of the m arc AC. (Choose one)

2. Using the relationship you established in Part I, find the m arc AC Show your work and explain your answer.

3. Using your answer from Part II, find the m arc ABC . Show your work.