The figure on the page is a regular polygon. Drag the slider to adjust n, the number of sides in the polygon. Drag A and B to adjust the size of the polygon. Drag the ray AD to move the polygon.
1. Angle CBD is an exterior angle of the polygon. What happens to this angle as the number of sides of the polygon increases? At what value of n is angle CBD obtuse? At what value of n is angle CBD right?
2. Angle ABC is an interior angle of the polygon. What happens to this angle as the number of sides of the polygon increases? At what value of n is angle CBD acute? At what value of n is angle CBD right?
3. What is the relationship between angles ABC and CBD?