Geometry - Types of Angles
Question 1
Which of the following angles are a right angle?
a)
a
A right angle
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b)
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A right angle
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A right angle
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Not a right angle
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Not a right angle
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Not a right angle
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A right angle
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Not a right angle
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Question 2
Classify the following angles as either greater than, equal to or less than a right angle
a)
a
Equal to a right angle
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b)
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Less than a right angle
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c)
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Equal to a right angle
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d)
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Greater than a right angle
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Less than a right angle
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Greater than a right angle
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Equal to a right angle
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Question 3
Which of the following angles are acute angles?
a)
a
Acute
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b)
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Not acute
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Acute
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Not acute
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Not acute
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Not acute
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Question 4
Which of the following angles are obtuse angles?
a)
a
Obtuse
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b)
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Obtuse
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c)
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Not obtuse
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Not obtuse
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Obtuse
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Not obtuse
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Question 5
Which of the following angles are reflex angles?
a)
a
Reflex
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Reflex
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Not reflex
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Not reflex
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Not reflex
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Reflex
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Reflex
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Question 6
Classify the following angles as either a straight angle or a full rotation
a)
a
Full rotation
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b)
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Straight angle
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Straight angle
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Full rotation
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Full rotation
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Straight angle
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Full rotation
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Straight angle
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Question 7
Classify the following angles as either acute, obtuse, reflex, a right angle, a straight angle or a full rotation
a)
a
Reflex
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Right angle
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Straight angle
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Acute
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Obtuse
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Full rotation
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Acute
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Straight angle
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Obtuse
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Reflex
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Right angle
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Question 8
Estimate the size of following angles in degrees
a)
a
$45$° (allow $±10°$)
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b)
a
$135°$ (allow $±10°$)
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a
$315°$ (allow $±10°$)
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$225°$ (allow $±10°$)
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$30°$ (allow $±10°$)
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$105°$ (allow $±10°$)
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$300°$ (allow $±10°$)
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$240°$ (allow $±10°$)
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$120°$ (allow $±10°$)
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$255°$ (allow $±10°$)
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Question 9
How many degrees are there in...
a) A right angle?
a
$90°$
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By definitions there are $90°$ in a right angle
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b) A straight angle?
a
$180°$
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By definitions there are $180°$ in a straight angle
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c) A full rotation?
a
$360°$
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By definitions there are $360°$ in a full rotation
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d) Two right angles?
a
$180°$
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As one right angle is $90°$ then two right angles is
$90°\times2=180°$
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e) One right angle and one straight angle?
a
$270°$
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As one right angle is $90°$ and one straight angle is $180°$ then the sum of these is
$90°+180°=270°$
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f) Three straight angles?
a
$540°$
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As one straight angle is $180°$ then three straight angles is
$180°\times3=540°$
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g) A full rotation, a straight angle and a right angle?
a
$630°$
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As one full rotation is $360°$, one straight angle is $180°$ and one right angle is $90°$ then the sum of these is
$360°+180°+90°=630°$
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h) Ten full rotations?
a
$3600°$
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As one full rotation is $360°$ then ten full rotations is
$360°\times10=3600°$
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i) Five right angles?
a
$450°$
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As one right angle is $90°$ then five right angles is
$90°\times5=450°$
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j) A right angle less than two full rotations?
a
$630°$
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As one full rotation is $360°$ then two full rotations is
$360°\times2=720°$
One right angle is $90°$.
So one right angle less two full rotations is
$720°-90°=630°$
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Question 10
Classify the following angles as either acute, obtuse, reflex, a straight angle or a full rotation
a) Half a right angle
a
Acute
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b) A quarter of a full rotation
a
Right Angle
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c) A third of a full rotation
a
Obtuse
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d) Three right angles
a
Reflex
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e) Two obtuse angles
a
Reflex
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f) A third of a right angle
a
Acute
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g) Nine-tenths of a full rotation
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Reflex
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Question 1
Which of the following angles are a right angle?
a)

b)

c)

d)

e)

f)

g)

h)

Question 2
Classify the following angles as either greater than, equal to or less than a right angle
a)

b)

c)

d)

e)

f)

g)

Question 3
Which of the following angles are acute angles?
a)

b)

c)

d)

e)

f)

Question 4
Which of the following angles are obtuse angles?
a)

b)

c)

d)

e)

f)

Question 5
Which of the following angles are reflex angles?
a)

b)

c)

d)

e)

f)

g)

Question 6
Classify the following angles as either a straight angle or a full rotation
a)

b)

c)

d)

e)

f)

g)

h)

Question 7
Classify the following angles as either acute, obtuse, reflex, a right angle, a straight angle or a full rotation
a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

Question 8
Estimate the size of following angles in degrees
a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

Question 9
How many degrees are there in...
a) A right angle?
b) A straight angle?
c) A full rotation?
d) Two right angles?
e) One right angle and one straight angle?
f) Three straight angles?
g) A full rotation, a straight angle and a right angle?
h) Ten full rotations?
i) Five right angles?
j) A right angle less than two full rotations?
Question 10
Classify the following angles as either acute, obtuse, reflex, a straight angle or a full rotation
a) Half a right angle
b) A quarter of a full rotation
c) A third of a full rotation
d) Three right angles
e) Two obtuse angles
f) A third of a right angle
g) Nine-tenths of a full rotation
Answers
Question 1
a) A right angle
b) A right angle
c) A right angle
d) Not a right angle
e) Not a right angle
f) Not a right angle
g) A right angle
h) Not a right angle
Question 2
a) Equal to a right angle
b) Less than a right angle
c) Equal to a right angle
d) Greater than a right angle
e) Less than a right angle
f) Greater than a right angle
g) Equal to a right angle
Question 3
a) Acute
b) Not acute
c) Acute
d) Not acute
e) Not acute
f) Not acute
Question 4
a) Obtuse
b) Obtuse
c) Not obtuse
d) Not obtuse
e) Obtuse
f) Not obtuse
Question 5
a) Reflex
b) Reflex
c) Not reflex
d) Not reflex
e) Not reflex
f) Reflex
g) Reflex
Question 6
a) Full rotation
b) Straight angle
c) Straight angle
d) Full rotation
e) Full rotation
f) Straight angle
g) Full rotation
h) Straight angle
Question 7
a) Reflex
b) Right angle
c) Straight angle
d) Acute
e) Obtuse
f) Full rotation
g) Acute
h) Straight angle
i) Obtuse
j) Reflex
k) Right angle
Question 8
a) $45$° (allow $±10°$)
b) $135°$ (allow $±10°$)
c) $315°$ (allow $±10°$)
d) $225°$ (allow $±10°$)
e) $30°$ (allow $±10°$)
f) $105°$ (allow $±10°$)
g) $300°$ (allow $±10°$)
h) $240°$ (allow $±10°$)
i) $120°$ (allow $±10°$)
j) $255°$ (allow $±10°$)
Question 9
a) $90°$
b) $180°$
c) $360°$
d) $180°$
e) $270°$
f) $540°$
g) $630°$
h) $3600°$
i) $450°$
j) $630°$
Question 10
a) Acute
b) Right Angle
c) Obtuse
d) Reflex
e) Reflex
f) Acute
g) Reflex
Question 1
Which of the following angles are a right angle?
a)

b)

c)

d)

e)

f)

g)

h)

Question 2
Classify the following angles as either greater than, equal to or less than a right angle
a)

b)

c)

d)

e)

f)

g)

Question 3
Which of the following angles are acute angles?
a)

b)

c)

d)

e)

f)

Question 4
Which of the following angles are obtuse angles?
a)

b)

c)

d)

e)

f)

Question 5
Which of the following angles are reflex angles?
a)

b)

c)

d)

e)

f)

g)

Question 6
Classify the following angles as either a straight angle or a full rotation
a)

b)

c)

d)

e)

f)

g)

h)

Question 7
Classify the following angles as either acute, obtuse, reflex, a right angle, a straight angle or a full rotation
a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

Question 8
Estimate the size of following angles in degrees
a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

Question 9
How many degrees are there in...
a) A right angle?
b) A straight angle?
c) A full rotation?
d) Two right angles?
e) One right angle and one straight angle?
f) Three straight angles?
g) A full rotation, a straight angle and a right angle?
h) Ten full rotations?
i) Five right angles?
j) A right angle less than two full rotations?
Question 10
Classify the following angles as either acute, obtuse, reflex, a straight angle or a full rotation
a) Half a right angle
b) A quarter of a full rotation
c) A third of a full rotation
d) Three right angles
e) Two obtuse angles
f) A third of a right angle
g) Nine-tenths of a full rotation
Answers
Question 1
a) A right angle
b) A right angle
c) A right angle
d) Not a right angle
e) Not a right angle
f) Not a right angle
g) A right angle
h) Not a right angle
Question 2
a) Equal to a right angle
b) Less than a right angle
c) Equal to a right angle
d) Greater than a right angle
e) Less than a right angle
f) Greater than a right angle
g) Equal to a right angle
Question 3
a) Acute
b) Not acute
c) Acute
d) Not acute
e) Not acute
f) Not acute
Question 4
a) Obtuse
b) Obtuse
c) Not obtuse
d) Not obtuse
e) Obtuse
f) Not obtuse
Question 5
a) Reflex
b) Reflex
c) Not reflex
d) Not reflex
e) Not reflex
f) Reflex
g) Reflex
Question 6
a) Full rotation
b) Straight angle
c) Straight angle
d) Full rotation
e) Full rotation
f) Straight angle
g) Full rotation
h) Straight angle
Question 7
a) Reflex
b) Right angle
c) Straight angle
d) Acute
e) Obtuse
f) Full rotation
g) Acute
h) Straight angle
i) Obtuse
j) Reflex
k) Right angle
Question 8
a) $45$° (allow $±10°$)
b) $135°$ (allow $±10°$)
c) $315°$ (allow $±10°$)
d) $225°$ (allow $±10°$)
e) $30°$ (allow $±10°$)
f) $105°$ (allow $±10°$)
g) $300°$ (allow $±10°$)
h) $240°$ (allow $±10°$)
i) $120°$ (allow $±10°$)
j) $255°$ (allow $±10°$)
Question 9
a) $90°$
b) $180°$
c) $360°$
d) $180°$
e) $270°$
f) $540°$
g) $630°$
h) $3600°$
i) $450°$
j) $630°$
Question 10
a) Acute
b) Right Angle
c) Obtuse
d) Reflex
e) Reflex
f) Acute
g) Reflex
Solutions
Question 1
a)
b)
c)
d)
e)
f)
g)
h)
Question 2
a)
b)
c)
d)
e)
f)
g)
Question 3
a)
b)
c)
d)
e)
f)
Question 4
a)
b)
c)
d)
e)
f)
Question 5
a)
b)
c)
d)
e)
f)
g)
Question 6
a)
b)
c)
d)
e)
f)
g)
h)
Question 7
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
Question 8
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
Question 9
a) By definitions there are $90°$ in a right angle
b) By definitions there are $180°$ in a straight angle
c) By definitions there are $360°$ in a full rotation
d) As one right angle is $90°$ then two right angles is
$90°\times2=180°$
e) As one right angle is $90°$ and one straight angle is $180°$ then the sum of these is
$90°+180°=270°$
f) As one straight angle is $180°$ then three straight angles is
$180°\times3=540°$
g) As one full rotation is $360°$, one straight angle is $180°$ and one right angle is $90°$ then the sum of these is
$360°+180°+90°=630°$
h) As one full rotation is $360°$ then ten full rotations is
$360°\times10=3600°$
i) As one right angle is $90°$ then five right angles is
$90°\times5=450°$
j) As one full rotation is $360°$ then two full rotations is
$360°\times2=720°$
One right angle is $90°$.
So one right angle less two full rotations is
$720°-90°=630°$
Question 10
a)
b)
c)
d)
e)
f)
g)