Rachel is creating a tile pattern using a regular hexagon, a regular quadrilateral, and one other regular shape as shown in the drawing.
1) What is the measure of one interior angle of the hexagon?
2) What is the measure of one exterior angle of the hexagon?
3) What is the measure of one interior angle of the quadrilateral?
4) What is the measure of one exterior angle of the quadrilateral?
5) How many sides must the third shape have so there are no gaps between the tiles?