Angles in Polygons 1. (a) What is the sum of internal angels in a Pentagon? (b) What is the value of angle x shown in the diagram below? 2. (a) What is the sum of the internal angles in a Hexagon? (b) What is the value of the angle y shown below? 3. (a) What is the sum of the internal angles of a Quadrilateral? (b) What is the value of the angle a shown below? 4. Find the missing angles in each case: (a) (b) 5. In these cases, you must create equations and solve them to find the unknowns: (a) (c) (b) 6. What is the size of each interior angle in a regular 9 sided shape? 7. What is the size of each interior angle in a regular 12 sided shape? 8. The diagram shows part of a regular heptagon (7 sided polygon). (a) (i) What do all the angles marked x add up to? (ii) What is the size of each of the angles marked x? (b) (i) What do all the angles marked y add up to? (ii) What is the size of each of the angles marked y? 9. For a regular 20 sided polygon, what is the size of: (a) Each exterior angle (b) each interior angle 10. For a regular 15 sided polygon, what is the size of: (a) Each exterior angle (b) each interior angle 11. For a regular 30 sided polygon, what is the size of: (a) Each exterior angle (b) each interior angle 12. For a regular 5 sided polygon, what is the size of: (a) Each exterior angle (b) each interior angle 13. For a regular 100 sided polygon, what is the size of: (a) Each exterior angle (b) each interior angle 14. For a regular 12 sided polygon, what is the size of: (a) Each exterior angle (b) each interior angle