Student Council members are designing a large poster that will tell people who each member is and what position each person holds. Each member gets a triangle piece of paper to decorate, then all the pieces will be fitted together to form the final display. The triangles are identical and fit together to form a regular polygon. It will look similar to the shape below: If there are 8 council members, what type of polygon will be formed?
To achieve this shape, what type of triangles will the individual pieces be? What will be the measures of each of the three angles in each of the triangles?
What will be the sum of the measures of the internal angles of the final shape?
Redo parts (b) and (c) if the Council decides to include triangles for the two staff advisors, assuming the poster will still form a regular polygon, but now with 10 triangles.