Solve complex problems with parallel b) line angles › wp-content › uploads › ... · 6 ABC is...
Transcript of Solve complex problems with parallel b) line angles › wp-content › uploads › ... · 6 ABC is...
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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°
![Page 2: Solve complex problems with parallel b) line angles › wp-content › uploads › ... · 6 ABC is an isosceles triangle. Line segments XY and BD are parallel. a) Write an expression](https://reader036.fdocuments.us/reader036/viewer/2022070819/5f19045253158f775568370a/html5/thumbnails/2.jpg)
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