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### Middle/High School Algebra, Geometry, and Statistics (AGS)6.10 Problems on Exterior Angles of a Regular Polygon - I

 Example: Find the measure of each of the exterior angle of a regular polygon of 5 sides. Solution: Given that, n = 5 sides Each exterior angle of a regular polygon on 'n' sides = 4/n rt.angles or 360/n. = 4/5 * rt.angles = 4/5 * 90 degrees = 4 * 18 degrees = 72 degrees. Example: Find the measure of each exterior angle of a regular hexagon. A hexagon has 6 sides, so n = 6 The measure of each exterior angle of a regular hexagon = 360/60 = 60 = 60 degrees Directions: Solve the following probelms. Also write at least ten examples of your own.
 Q 1: Find the measure of each of the exterior angle of a regular polygon of 4 sides.100 degrees90 degrees80 degrees Q 2: Find the measure of each of the exterior angle of a regular polygon of 9 sides.50 degrees40 degrees45 degrees Q 3: Find the measure of each of the exterior angle of a regular polygon of 12 sides.30 degrees40 degrees35 degrees Q 4: Find the measure of each of the exterior angle of a regular polygon of 6 sides.80 degrees60 degrees70 degrees Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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