Move points A and B around the circle to explore the relationships between inscribed and central angles. Please note that angle measures and arcs are both measured in degrees. Use the diagram to answer the following questions:
The measurement of a central angle is always the same as the measure of the arc subtended by the central angle. For any two points on a circle there is always one arc measure and one central angle measure that are identical. We say that the arc intercepts the circle at the two points. An inscribed angle intercepts (or intersects) the circle at the two points that are not the inscribed angle's vertex
If [i]m[/i][math]\angle[/math]AOB = 196°, find the measure of major arc AXB
If the [i]m[/i][math]\angle[/math]AOB = 80°, find the [i]m[/i][math]\angle[/math]ACB
If the [i]m[/i][math]\angle[/math]ACB = 50°, find the measure of minor arc AB