Question

make a conjecture. let points a and b stay in the same position. what would happen to the angle formed if the vertex of angle aob was moved from the center to point c, which lies on the circle? the measure of angle acb is the measure of angle aob. less than greater than the same as

Explanation:

Step1: Recall circle - angle theorem

The measure of an inscribed angle (angle ACB with vertex on the circle) is half of the measure of the central angle (angle AOB with vertex at the center of the circle) that subtends the same arc.

Answer:

less than