Post on 01-Jun-2020
1 Thediagramshowsaninteriorangleofahexagonanditsadjacent
exteriorangle.
a) Talktoapartneraboutwhyyouthinktheyarecalledinteriorand
exteriorangles.
b) Choosefromthelisttocompletethesentences.
adjacent interior exterior straight sum 180°
An angleandits
angleforma line.Thereforethey
to
c) Completethestatement.
interiorangle+exteriorangle=
2 ABCisanequilateraltriangle.
a) Explainwhyeachoftheinterioranglesis60°.
b) x,yandzaretheexterioranglesoftriangleABC.
Workoutthesizesoftheseangles.
x= y= z=
c) Completethecalculation. x+y+z=
d) Workouttheexterioranglesofeachtriangle.Labelthemonthe
diagramandcompletethecalculations.
x+y+z= x+y+z=
x+y+z=
3 Workoutthesizeoftheexteriorangleofeachpolygon.
Thenworkoutthesumoftheexteriorangles.
a) a=
b=
c=
d=
a+b+c+d=
Understand and use the sumofexterior anglesofany polygon
©WhiteRoseMaths2020
exteriorinterior
y
x
AC
B
z
60°
60° 60°
y
x
z
70°
45° 65°
yx
z
80°
50°50°
y
x
z
35°65°
80°
a
b
c
d50°50°
130° 130°
b) a=
b=
c=
d=
� e�=
a+b+c+d+e=
Whatdoyounotice?
4 Completethesentence.
Thesumoftheexterioranglesofanypolygonis
5 Workoutthesizesoftheunknownangles.
a) c)�
a= c=
b) d)�
b= d=
6 Workoutthesizeoftheexterioranglesofregularpolygonswiththe
givennumberofsides.
a) 3sides c)5sides e)10sides
b) 4sides d)6sides f)36sides
7 Aregularpolygonhasnsides.
a) Writeanexpressionforthesizeofeachexteriorangle.
�
b) Writeanexpressionforthesizeofeachinteriorangle.
�
8 Aregularpolygonhasanexteriorangleof30°.
Howmanysidesdoesthepolygonhave?
�
©WhiteRoseMaths2020
ab
d
ec
80°
140°
140°
a
100°150°
d
67°
125°
62°
80°
b
80° 60°
70°
65°
c
c
97°
83°25°
45°