Angles in special quadrilaterals

1 Workoutthesumoftheanglesineachshape.

a) b)

Whatdoyounotice?

2 Thediagramsshowthefourverticesofaquadrilateralarranged

aroundapoint.

Whatdothediagramsillustrateaboutthesumoftheanglesin

aquadrilateral?

Completethesentence.

Anglesinaquadrilateral©WhiteRoseMaths2020

3 Workoutthesizeoftheunknownangleineachtrapezium.

a) b)

a= b=

c) Whatisthesameandwhatisdifferentaboutthetrapeziums?

4 Workoutthesizesoftheunknownangles.

a) b)

c= d=

c) Whatdoyounoticeaboutoppositeanglesinaparallelogram?

a

a

b

b

c

cd

d

a b

63° 123°

57°

123°

cd45°

45°135°

78° 102°

78°

5 Twoisoscelestrianglesarejoinedtoformakite.

a) Workoutthesizesoftheunknownangles.

w= y= x= z=

b) Workoutw+x.

c) Workouty+z.

Whatdoyounotice?Talkaboutitwithapartner.

6 Workoutthesizesoftheunknownangles.

a) b)

r= s=

©WhiteRoseMaths2020

c) d)

t= u=

Compareyourreasoningwithapartner.

7 Teddyisdrawingaquadrilateral.

IsTeddy’squadrilateralpossible?

Explainyouranswer.

My quadrilateral has exactly three right-angles.

104°

68°

wx

yz

91°

87°

113°

73°r

s

107° 61°t

u