Question: 12. Each external angle of a regular polygon is one quarter of each internal angle. How many sides does the polygon have? 13. Each

12. Each external angle of a regular polygon is one quarter of

12. Each external angle of a regular polygon is one quarter of each internal angle. How many sides does the polygon have? 13. Each internal angle of a polygon is an obtuse angle which is a whole number of degrees. What is the greatest number of sides the polygon could have? 14. The sum of the internal angles of an n-gon is double the sum of the exterior angles. Find the value of n. 15. The diagram shows a regular pentagon and a regular hexagon which overlap. Find the value of x. x 16. In AABC, the bisectors of the angles B and C meet at I. Prove that 2 x ZBIC-LA = 180. ducod to n. the bisector of LACD is

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