SAT TOPIC SHEET
ANGLES
1.
The drawing shows an isosceles triangle.
a
Not drawn accurately
b
2.
(a)
When angle b is 70°, what is the size of angle a?
(b)
When angle a is 70°, what is the size of angle b?
Kay is drawing shapes on her computer.
(a)
She wants to draw this triangle. She needs to know angles a, b and c.
a
8.1
80º
40º
6
9.2
b
NOT
TO
SCALE
c
Calculate angles a, b and c.
(b)
Kay draws a rhombus:
10
d
50º
10
e
10
10
Calculate angles d and e.
NOT
TO
SCALE
3.
The diagram shows a rhombus. One angle is 46°.
m
Not drawn
accurately
46°
Calculate the size of the angle marked m
4.
This pattern has rotation symmetry of order 6. What is the size of angle w?
Show your working.
w
26°
Not drawn
accurately
5.
The diagram shows two isosceles triangles inside a parallelogram.
75º
75º
Not drawn accurately
k
80º
(a)
On the diagram, mark another angle that is 75°. Label it 75°
(b)
Calculate the size of the angle marked k. Show your working.
6.
The shape below has 3 identical white tiles and 3 identical grey tiles.
The sides of each tile are all the same length.
Opposite sides of each tile are parallel.
One of the angles is 70°
k
70º
m
NOT TO SCALE
7.
(a)
Calculate the size of angle k.
(b)
Calculate the size of angle m.
This star-shape has rotation symmetry of order 5
It is made from five congruent (identical) triangles.
Not drawn
accurately
a
(a)
Jenny said:
Angle a must be 72o.
Without measuring, explain how you know she is correct.
(b)
Not drawn
accurately
Work out the size of angle b
72°
80°
b°
8.
The drawing shows how shapes A and B fit together to make a right-angled triangle.
B
A
Work out the size of each of the angles in shape B.
Write them in the correct place in shape B below.
Not drawn
accurately
40°
B
235°
A
43°
42°
Answers.
1.
(a)
(b)
a = 40o.
b = 55o.
2.
(a)
(b)
a = 100o, b = 40o, c = 120o.
d = 50o, e = 130o.
3.
m = 134o.
4.
w = 34o.
5.
(b)
k = 50o.
6.
(a)
(b)
k = 110o.
m = 50o.
7.
(a)
(b)
a = 360o ÷5 etc.
b = 28o.
8.
50o, 125o, 138o, 47o.