Find Missing Exterior Angles of Polygons Maths Miss

Find Missing Exterior Angles of Polygons Maths Miss Davies 1

Find Missing Exterior Angles of Polygons 1. Work out the size of each exterior 2. What is the sum of the exterior angle of the polygons. angles of any polygon? a) a 110 o 70 o d b) a b 150 o e 75 o c 140 o d What is the sum of the exterior angles in part a and b 2 a) b 70 o 105 o 3. Find the missing angles. c a 75 o 150 o 75 o b) b 70 o 85 o 120 o c) d) 50 o 45 o 30 o c d c 85 o 140 o 65 o 50 o

Find Missing Exterior Angles of Polygons 4. Work out the exterior angles of 5. A regular polygon has n sides. regular polygons with the given Write an expression to represent number of sides. the size of each exterior angle. Number of sides 3 4 5 6 10 36 3 Size of the exterior angle 6. A regular polygon has an exterior angle of 45 o. How many sides does the regular polygon have?

Answers 4

Find Missing Exterior Angles of Polygons 1. Work out the size of each exterior 2. What is the sum of the exterior angle of the polygons. angles of any polygon? a) a 110 o 70 o d b) a b 105 o 70 o c 140 o e c d a = 90 o, b = 30 o, c = 40 o, d= e = 90 Sum = 360 o a= 90 o 150 o 75 o b) 75 o b 70 o 85 o 120 o b= 55 o d) 50 o angles in part a and b 5 a c) What is the sum of the exterior a = 70 o, b = 110 o, c = 1 05 o, d = 75 o Sum = 360 o a) b 150 o 3. Find the missing angles. o 45 o 30 o c c c= 95 o d= 110 o d 85 o 140 o 65 o 50 o

Find Missing Exterior Angles of Polygons 4. Work out the exterior angles of 5. A regular polygon has n sides. regular polygons with the given Write an expression to represent number of sides. the size of each exterior angle. 6 Number of sides Size of the exterior angle 3 120 o 4 90 o 5 72 o 6 60 o 10 36 o 36 10 o 6. A regular polygon has an exterior angle of 45 o. How many sides does the regular polygon have? 8 sides