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### Middle/High School Algebra, Geometry, and Statistics (AGS)6.3 Problems on Exterior Angles of a Regular Polygon - II

 Example: If the measure of each exterior angle of a regular polygon is 90°, find the number of sides. Solution: Each exterior angle of a regular polygon of 'n' sides = 4/n rt.angles. \ 4/n * 90° = 90° n = (90°/90°)*4. n = 4. \ The number of sides = 4. Example: The measure of each exterior angle of a regular polygon is 45°. How many sides does the polygon have ? 360/n = 45 45n = 360 n = 8 The polygon has 8 sides. Directions: Solve the following problems. Also write at least five examples of your own.
 Q 1: If each exterior angle of a regular polygon is 72°, find the number of sidesAnswer: Q 2: If each exterior angle of a regular polygon is 36°, find the number of sidesAnswer: Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!