Angles ∠BAC and ∠DAE are central angles for circle A. Slider ca1 controls the size of ∠BAC. Slider ca2 controls the size of ∠DAE. [br][br]1. If an angle is larger, its arc is __________________. [br]2. Make ∠DAE and ∠BAC into congruent angles. Drag B and D so the arcs are aligned (on top of one another). If the angles are congruent, how are the arcs related? Try changing the angle lengths to make sure. [br]3. Can you make both arcs cover the entire circle without overlapping? What is the total of the central angles measures if they do? Is this always the case?[br]4. Can you make both arcs cover the entire circle without overlapping and have the central angles equal? What kind of angles and arcs do you form?[br]5. Make EB a diameter and give ∠DAE and ∠BAC two different measurements < 180°. Now solve for the missing angles ∠DAB and ∠CAE. Explain your process.