# 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)

a
A right angle

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c)

a
A right angle

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d)

a
Not a right angle

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e)

a
Not a right angle

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f)

a
Not a right angle

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g)

a
A right angle

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h)

a
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)

a
Less than a right angle

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c)

a
Equal to a right angle

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d)

a
Greater than a right angle

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e)

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Less than a right angle

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f)

a
Greater than a right angle

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g)

a
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)

a
Not acute

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c)

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Acute

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d)

a
Not acute

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e)

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Not acute

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f)

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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)

a
Not obtuse

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d)

a
Not obtuse

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e)

a
Obtuse

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f)

a
Not obtuse

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**Question 5**

Which of the following angles are reflex angles?

a)

a
Reflex

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b)

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Reflex

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c)

a
Not reflex

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d)

a
Not reflex

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e)

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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)

a
Straight angle

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c)

a
Straight angle

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d)

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Full rotation

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Full rotation

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f)

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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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b)

a
Right angle

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c)

a
Straight angle

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Acute

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e)

a
Obtuse

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f)

a
Full rotation

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Acute

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h)

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Straight angle

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Obtuse

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Reflex

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a
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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c)

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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s
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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s
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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s
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

a
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)