vertically opposite angles 2 · 2020-06-04 · Understand and use the equality of vertically opposite angles 1 The diagram shows four angles around a point. a) What is the sum of
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Understand and use the equality of vertically opposite angles
1 The diagram shows four angles around a point.
a) What is the sum of all four angles?
How do you know?
b) Which pairs of angles sum to 180o?
How do you know?
c) Which pairs of angles are equal?
How do you know?
d) Complete the sentences.
Angles round a point
Adjacent angles on a straight line
Vertically opposite angles
2 Tick the pairs of angles that are vertically opposite.
Compare answers with a partner.
3 Work out the sizes of the unknown angles.
Give reasons for your answers.
a)
y = because
b)
z = because
© White Rose Maths 2020
a b
cd
y
z
29°
132°
48°
4 Whitney is working out the size of angle f.
Do you agree with Whitney?
Explain your answer.
5 Work out the unknown angles.
a) c)
a = c =
b) d)
b = d =
© White Rose Maths 2020
e) f)
e = e =
Talk about your reasons with a partner.
6 Angle b is three times the size of angle a.
Work out the sizes of angles a and b.
a = b =
7 The diagram shows three straight lines intersecting at a single point.
Work out the value of x and y.
x = y =
Angle f is equal to 79° because vertically opposite
angles are equal.
f
79°
a
b
d
c
133°
73°
81°65°
52°
e
f
81°
113°
a
b80°
y
5x–763°
46°
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