year 8 maths

368 Chapter 6 Angle relationships and properties of geometrical figures 1
PROBLEM-SOLVING AND REASONING
8, 9, 11 8, 9, 11, 12
9, 10, 12–15
8 Decide if it is possible to draw a triangle with the given description. Draw a diagram to support
your answer.
a right and scalene
b obtuse and equilateral
c right and isosceles
d acute and isosceles
e acute and equilateral
f obtuse and isosceles
9 Use your knowledge of parallel lines and triangles to find the unknown angle a .
a
55°
70°
a°
b
a°
35°
85°
c
74°
81°
a°
10 Find the value of a in these diagrams, giving reasons.
a A
b
A
a° C
22°
B
C
a°
E
D
29°
B
c
B
72°
D
d
C
116°
A
a°
C
A
155°
a°
B
e
A
a°
B
C
49°
D
E
f
B
A
a°
150°
C
D
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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