Angles in polygons

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?

Can you work out how these polygon pictures were drawn, and use that to figure out their angles?