Angles in special quadrilaterals 1 Work out the sum of the angles in each shape. a) b) What do you notice? 2 The diagrams show the four vertices of a quadrilateral arranged around a point. What do the diagrams illustrate about the sum of the angles in a quadrilateral? Complete the sentence. Angles in a quadrilateral © White Rose Maths 2020 3 Work out the size of the unknown angle in each trapezium. a) b) a = b = c) What is the same and what is different about the trapeziums? 4 Work out the sizes of the unknown angles. a) b) c = d = c) What do you notice about opposite angles in a parallelogram? a a b b c c d d a b 63° 123° 57° 123° c d 45° 45° 135° 78° 102° 78°
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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
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