A Sort the angles into ascending order B

A Sort the angles into ascending order B C D E G F I H J

A Sort the angles into ascending order B C D E G F A, F, E, B, H, C, I, G, J, D I H J

By comparing the minor arc and rotating it’s much clearer to see that I is bigger than G G I How could you decide which is the bigger turn out of G and I? G I

We can label angles in multiple ways We don’t need to specify direction yet, so: A A B B C It can help to see these are instructions rather than labels “The turn from line AB to line BC” C “The turn from line BC to line AB”

Q The figure below is made up of three straight lines. 85 o Is each angle equivalent to ∠ABC? S 65 o A R 20 o E 85 O P 65 O 20 O What is the value of ∠WZX? B 90 O Z C 52 O D ∠DCB ∠ABD 38 O 38 o 52 o ∠ACB Y ∠CAB W X

(Angles that intersect another line are labelled in italics) Find the value of ∠ABC (clockwise) in each diagram below A 35 o A A D 95 o 200 o C B 95 o B 35 o 55 o B C C D D A 130 o C B B 35 o C D B 35 o D C A

(Angles that intersect another line are labelled in italics) Find the value of ∠ABC (clockwise) in each diagram below A 35 o A A D 145 o 60 o 130 o 200 o C 95 o B 35 o 55 o B C C D D A 130 o 55 o B C B 35 o 125 o 35 o C D B D C A 220 o

F L Write down the value of each angle below D 100 o A (Angles that intersect another line are labelled in italics) C 120 o 80 o E T 45 o S B 75 o J G 53 o U 58 o 210 o P Q W K 76 o 15 o H R 290 o M I V 156 o 111 o All angles are measured clockwise ∠PQS = ∠KNM = ∠USQ = ∠JKN = ∠WUS = ∠CBE = ∠GHN = ∠DEF = N

F Write down the value of each angle below D 100 o A (Angles that intersect another line are labelled in italics) C 120 o 80 o E T 45 o S B 75 o V R 156 o 290 o 53 o U 58 o 210 o P L Q W 111 o M I J G K 76 o 15 o N H All angles are measured clockwise ∠PQS = 111 o ∠KNM = 14 o ∠USQ = 81 o ∠JKN = 211 o ∠WUS = 80 o ∠CBE = 35 O ∠GHN = 105 o ∠DEF = 60 O

Match each trapezium with its properties D C A B C D A D C A 9 B 8 B 7 A T Z V Y R X 1 A D D B C A 3 B D W 4 S U 2 C D A D C D A 5 B C B B A 6 B C C

Match each trapezium with its properties D C B C A 9 1 A D D T A B 8 B B 2 C W A V 3 S C B U Answers D A D 7 D X Z Y A 4 R D C D A C 5 B C B B A 6 B C C