Circle theorems - Cyclic Quadrilaterals

Move point A or C. What do you notice about the angles?[br]Move point B or D. What do you notice? Can you explain these results?
Circle theorems - Cyclic Quadrilaterals
When A or C are moved there is no change to the angles why is this?[br]Notice how the angles change when B or D are moved. Why is this?[br]What is the sum of the opposite angles?

Information: Circle theorems - Cyclic Quadrilaterals