1. 1.) ) )
62° a b c a b
49° c b a
58°
4.) ) )
96°
44° b
85°
63° a c b a a c b
7.) ) )
92°
38° a
65°
55° b c c b b a a

2. 1.) 2.) 3.) 62° a b c a b 49° c b a 58° 4.) 5.) 6.) 96° b 85° a 44°
1.) ) )
62° a b c a b
49° c b a
58°
a=62°
b=62°
c=118°
a=58°
b=122°
a=49°
b=41°
c=41°
4.) ) )
96° b
85° a
44°
63° c a c b b a
a=96°
b=96°
a=85°
b=85°
c=85°
a=44°
b=63°
c=73°
7.) ) )
92°
38° a
65°
55° b c c b b a a
a=38°
b=52°
c=52°
a=88°
c=88°
a=65°
b=55°
c=60°

3. A a = 105 … alternate angles
B a = 75 … corresponding angles
C a = 105 … angles in a triangle = 180
D a = 105 … corresponding angles
D a = 105 … corresponding angles 3

4. A e = 82 … alternate angles
98
A e = 82 … alternate angles
B e = 98 … corresponding angles
C e = 98 … alternate angles
C e = 98 … alternate angles
D e = 82 … angles on a str. line = 180  4

5. A f = 56 … alternate angles
54
A f = 56 … alternate angles
B f = 70 … angles in a triangle = 180
B f = 70 … angles in a triangle = 180
C f = 54 … corresponding angles
D f = 124 … angles on a str. line = 180  5

6. A g = 30 … corresponding angles
100
A g = 30 … corresponding angles
B g = 70 … alternate angles
B g = 70 … alternate angles
C g = 100 … alternate angles
D g = 99 … corresponding angles 6

7. A h = 80 … angles on a str. line = 180 
30 h
70
100
A h = 80 … angles on a str. line = 180 
A h = 80 … angles on a str. line = 180 
B h = 70 … corresponding angles
C h = 100 … alternate angles
D h = 30 … angles in a triangle = 180 7

8. A i = 100 … alternate angles
30
70
100
A i = 100 … alternate angles
B i = 30 … angles in a triangle = 180
C i = 70 … corresponding angles
D i = 100 … corresponding angles
D i = 100 … corresponding angles 8

9. A j = 30 … angles in a triangle = 180
100 j
30
80
70
100
A j = 30 … angles in a triangle = 180
B j = 70 … corresponding angles
C j = 80 … angles round a point = 360
C j = 80 … angles round a point = 360
D j = 100 … alternate angles 9

10. A k = 40 … angles in a triangle = 180
100
30
80
70 k
100
A k = 40 … angles in a triangle = 180
A k = 40 … angles in a triangle = 180
B k = 30 … corresponding angles
C k = 100 … alternate angles
D k = 30 … alternate angles 10

11. A m = 110 … alternate + on a str line
23
47 m
A m = 110 … alternate + on a str line
A m = 110 … alternate + on a str line
B m = 23 … corresponding + on a str line
C m = 64 … angles in a triangle = 180
D m = 47 … alternate angles 11

12. d
D 4 h e g f
How many other angles shown are equal to the angle labelled 70? a j
70 i b c
A 5
B 2
C 3
D 4 12

13. Solutions 13

14. A a = 105 … alternate angles
B a = 75 … corresponding angles
C a = 105 … angles in a triangle = 180
D a = 105 … corresponding angles
D a = 105 … corresponding angles 14

15. A e = 82 … alternate angles
98
A e = 82 … alternate angles
B e = 98 … corresponding angles
C e = 98 … alternate angles
C e = 98 … alternate angles
D e = 82 … angles on a str. line = 180  15

16. A f = 56 … alternate angles
54
A f = 56 … alternate angles
B f = 70 … angles in a triangle = 180
B f = 70 … angles in a triangle = 180
C f = 54 … corresponding angles
D f = 124 … angles on a str. line = 180  16

17. A g = 30 … corresponding angles
100
A g = 30 … corresponding angles
B g = 70 … alternate angles
B g = 70 … alternate angles
C g = 100 … alternate angles
D g = 99 … corresponding angles 17

18. A h = 80 … angles on a str. line = 180 
30 h
70
100
A h = 80 … angles on a str. line = 180 
A h = 80 … angles on a str. line = 180 
B h = 70 … corresponding angles
C h = 100 … alternate angles
D h = 30 … angles in a triangle = 180 18

19. A i = 100 … alternate angles
30
70
100
A i = 100 … alternate angles
B i = 30 … angles in a triangle = 180
C i = 70 … corresponding angles
D i = 100 … corresponding angles
D i = 100 … corresponding angles 19

20. A j = 30 … angles in a triangle = 180
100 j
30
80
70
100
A j = 30 … angles in a triangle = 180
B j = 70 … corresponding angles
C j = 80 … angles round a point = 360
C j = 80 … angles round a point = 360
D j = 100 … alternate angles 20

21. A k = 40 … angles in a triangle = 180
100
30
80
70 k
100
A k = 40 … angles in a triangle = 180
A k = 40 … angles in a triangle = 180
B k = 30 … corresponding angles
C k = 100 … alternate angles
D k = 30 … alternate angles 21

22. A m = 110 … alternate + on a str line
23
47 m
A m = 110 … alternate + on a str line
A m = 110 … alternate + on a str line
B m = 23 … corresponding + on a str line
C m = 64 … angles in a triangle = 180
D m = 47 … alternate angles 22

23. d
D 4 i b e h h e g f
How many other angles shown are equal to the angle labelled 70? a j
70 i b c
A 5
B 2
C 3
D 4 23