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Vertically opposite angles
1 Thediagramshowsfouranglesformedbytwostraightlines.
a) Measurethesizesoftheangles.
a= b= c= d=
b) Whatisthetotalofanglesaandb?
Explainwhy.
Doanyotherpairsofangleshavethissametotal?
c) Anglesaandcareverticallyoppositeangles.
Whatdoyounoticeaboutthesizesofanglesaandc?
d) Anglesbanddarealsoverticallyoppositeangles.
Whatdoyounoticeaboutthesizesofanglesbandd?
e) Completethesentence.
Verticallyoppositeangles
2 Tickthepairsofanglesthatareverticallyopposite.
Compareanswerswithapartner.
3 Workoutthesizesoftheunknownangles.
Givereasonsforyouranswers.
a)
y= because
b)
z= because
©WhiteRoseMaths2020
a b
y
z
29°
132°
48°
cd
4 Annieisworkingoutthesizeofanglef.
DoyouagreewithAnnie?
Explainyouranswer.
5 Workouttheunknownangles.
a) c)
a= c=
b) d)
b= d=
©WhiteRoseMaths2020
e) f)
e= f=
Talkaboutyourreasonswithapartner.
6 Anglebisthreetimesthesizeofanglea.
Workoutthesizesofanglesaandb.
a= b=
7 Anglefisonequarterofthesizeofangleg.
Anglefis28°.
Areanglesxandyverticallyopposite?
Explainyouranswer.
Angle f is equal to 79° because vertically opposite
angles are equal.
f
79°
e
f
81°
113°
a
b
d
c
133°
73°
81°65°
52°
a
b80°
gf
139°
yx
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