Vertex outside the circle (Secant Angles)

AB and BC are secants that intersect circle O at points A, C, D, and E. Drag A, B, or C to adjust the angle. You can see the measures of the angles and arcs in the spreadhseet to the right. 1. Which arc is always larger? 2. When is angle B largest? (Think about where the points of intersection between the secants and the circles are in relation to one another.) 3. Which will always have the smallest measure - arc AC, arc DE, or angle B?