Explore the simulation and consider the following:[br][br]How many arcs are created by the two secants?[br]As the angle becomes larger, what happens to the sizes of those arcs?[br]What relationship might exist between: the angle formed outside the circle and the arcs it intercepts?[br][br]

Move points R, Q, S, and T to change the size of the intercepted arcs. Record the measures of arc RS, arc QT, and <QPT. Then look for relationships between the measures of the arcs and the value of the angle. Check for relationships like adding the measures of the arcs, subtracting the arcs, the average of the arcs, diving measurements in half, angles being supplementary, complementary, or adding to 360.