1 Sortthecardsintothetable.

Anglesareequal Anglessumto180° Notenoughinformation

2 Workoutthesizesoftheunknownangles.

a) a=

b=

c =

d=

e=

b)

c=

d=

Compareyourmethodwithapartner.Whichanglerulesdidyouuse?

3 Workoutthesizesoftheunknownanglesandlabelthemon

thediagram.

Discussyourreasonsforeachanglewithapartner.

Didyouworkthemoutthesameway?

Solve complexproblemswithparallel lineangles

©WhiteRoseMaths2020

A B C D

E F G H

c

e

a

bd

82°

cd

79°

101°

43°

59°

6 ABCisanisoscelestriangle.

LinesegmentsXYandBDareparallel.

a) Writeanexpressionintermsofxforthesizeofeachangle.

ACB= ACD=

AYX= BXY=

AXY= XYC=

BAC=

b)

ExplainwhyAmir’svalueforxisnotsuitable.

Whatwouldbeamoresuitablevalueforx?

4 Workoutthesizeofanglexineachdiagram.

a) c)

x= x=

b) d)

x= x=

5 ABCDisarectangle.

Workoutasmanyoftheunknownanglesaspossibleandlabelthemon

thediagram.

©WhiteRoseMaths2020

x can take any value. I’m going to use x = 93° to

work out the size of each angle.

x101°

x

41°

78°

x

79°51°

x81°

D

B

C

47°

53°

43°

A

B DC

YX

A

x