1. a. b. The sum of the exterior angles of a hexagon is 360o.

c. (i) Each exterior angle is 60o
(ii) Each interior angle is 120o

2.

 Name of polygon Diagram Size of each exterior angle pentagon 72o heptagon 51.4o octagon 45o

3. a. 360o
b. (i) 90o
(ii) 90o

4. 10 sides, it is called a decagon.

 5 a b c d e 315o 135o 070o 220o 135o

 6 a b c d e E S N30oW W N85oE

7.

 a b a = 50o Reason: Alternate angles on parallel lines are equal. b = 30o Reason: Co-interior angles on parallel lines add to 180o (supplementary angles). c d c = 81o Reason: Corresponding angles on parallel lines are equal. d = 55o Reason: Alternate angles on parallel lines are equal. e = 55o Reason: Vertically opposite angles are equal. e f f = 145o Reason: Co-interior angles on parallel lines are equal. g = 145o Reason: Vertically opposite angles are equal. j = 110o Reason: Co-interior angles on parallel lines are equal. h = 130o Reason: Co-interior angles on parallel lines are equal. k = 70o Reason: Corresponding angles on parallel lines are equal. k = 50o Reason: Corresponding angles on parallel lines are equal. n = 60o Reason: Angles on a straight line add to 180o(supplementary angles).