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1. a.

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

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

2.

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

3. a. 360^ob. (i) 90^o
(ii) 90^o

4. 10 sides, it is called a decagon.

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

6

a

b

c

d

e

E

S

N30^oW

W

N85^oE

7.

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