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Question 11 Mark
State the kind of angle, in each case, formed between the following directions: North and North-East
Answer
North and north-east directions form an angle of $45^\circ $, which is an acute angle.
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Question 21 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle: $145^\circ $
Answer
An acute angle measures between $0^\circ $ and $90^\circ .$
An obtuse angle measures between $90^\circ $ and $180^\circ .$
A straight angle measures $180^\circ .$
A right angle measures $90^\circ .$
A zero angle measures $0^\circ $ and a complete angle measures $360^\circ .$
$145^\circ $ is an obtuse angle.
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Question 41 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle: $30^\circ $
Answer
An acute angle measures between $0^\circ $ and $90^\circ $.
An obtuse angle measures between $90^\circ $ and $180^\circ .$
A straight angle measures $180^\circ .$
A right angle measures $90^\circ .$
A zero angle measures $0^\circ $ and a complete angle measures $360^\circ .30^\circ $ is an acute angle.
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Question 51 Mark
State the kind of the following angles:
Answer
Acute angle, as it measures between $0^\circ $ and $90^\circ .$
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Question 71 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle: $179^\circ $
Answer
An acute angle measures between $0^\circ $ and $90^\circ $. An obtuse angle measures between $90^\circ $ and $180^\circ $. A straight angle measures $180^\circ $. A right angle measures $90^\circ $. A zero angle measures $0^\circ $ and a complete angle measures $360^\circ . 179^\circ $ is an obtuse angle.
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Question 81 Mark
Which of the following statements are true:
$i.\ $The vertex of an angle lies in its interior.
$ii.\ $The vertex of an angle lies in its exterior.
$iii.\ $The vertex of an angle lies on it.
Answer

This is the only correct statement.

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Question 91 Mark
An angle is formed by two adjacent fingers. What kind of angle will it appear?
Answer
Angle formed by two adjacent fingers will appear as an acute angle.
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Question 101 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle: $75^\circ $
Answer
An acute angle measures between $0^{\circ}$ and $90^{\circ}$. An obtuse angle measures between $90^{\circ}$ and $180^{\circ}$. A straight angle measures $180^{\circ}$. A right angle measures $90^{\circ}$. A zero angle measures $0^{\circ}$ and a complete angle measures $360^{\circ} .75^{\circ}$ is an acute angle.
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Question 111 Mark
By using tracing paper compare the angles in the pairs given in Fig.
Answer
Using tracing paper, we get that: $\angle\text{UVW}$ is greater than $\angle\text{LMN}.$
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Question 121 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle: $90.5^{\circ}$
Answer
An acute angle measures between $0^{\circ}$ and $90^{\circ}$. An obtuse angle measures between $90^{\circ}$ and $180^{\circ}$. A straight angle measures $180^{\circ}$. A right angle measures $90^{\circ}$. A zero angle measures $0^{\circ}$ and a complete angle measures $360^{\circ} .90 .5^{\circ}$ is an obtuse angle.
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Question 131 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle:
$89.5^\circ $
Answer
An acute angle measures between $0^{\circ}$ and $90^{\circ}$. An obtuse angle measures between $90^{\circ}$ and $180^{\circ}$. A straight angle measures $180^{\circ}$. A right angle measures $90^{\circ}$. A zero angle measures $0^{\circ}$ and a complete angle measures $360^{\circ}$. $89.5^{\circ}$ is an acute angle.
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Question 141 Mark
Write the arms and the vertex of $\angle\text{LMP}$ given in Figure:
Answer
Arms of $\angle\text{LMP}$ are $MP$ and $ML$. Further, vertex is $M.$
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Question 151 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle: $360^\circ $
Answer
An acute angle measures between $0^{\circ}$ and $90^{\circ}$. An obtuse angle measures between $90^{\circ}$ and $180^{\circ}$. A straight angle measures $180^{\circ}$. A right angle measures $90^{\circ}$. A zero angle measures $0^{\circ}$ and a complete angle measures $360^{\circ}$. $360^{\circ}$ is a complete angle.
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Question 161 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle:
$165^\circ$
Answer
An acute angle measures between $0^{\circ}$ and $90^{\circ}$. An obtuse angle measures between $90^{\circ}$ and $180^{\circ}$. A straight angle measures $180^{\circ}$. A right angle measures $90^{\circ}$. A zero angle measures $0^{\circ}$ and a complete angle measures $360^{\circ}$. $165^{\circ}$ is an obtuse angle.
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Question 171 Mark
By simply looking at the pair of angles given in Figure, state which of the angles in the pairs is greater:
Answer
$\angle\text{PQR}$ is greater than $\angle\text{LMN}.$
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Question 181 Mark
State the kind of angle, in each case, formed between the following directions: East and North
Answer
East and North directions form an angle of 90°, which is a right angle.
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Question 191 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle: $0^\circ $
Answer
An acute angle measures between $0^{\circ}$ and $90^{\circ}$. An obtuse angle measures between $90^{\circ}$ and $180^{\circ}$. A straight angle measures $180^{\circ}$. A right angle measures $90^{\circ}$. A zero angle measures $0^{\circ}$ and a complete angle measures $360^{\circ} .0^{\circ}$ is a zero angle.
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Question 201 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle:
$118^\circ $
Answer
An acute angle measures between $0^\circ $ and $90^\circ $. An obtuse angle measures between $90^\circ $ and $180^\circ $. A straight angle measures $180^\circ $. A right angle measures $90^\circ $. A zero angle measures $0^\circ$ and a complete angle measures $360^\circ .$
$118^\circ $ is an obtuse angle.
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Question 221 Mark
State the kind of angle, in each case, formed between the following directions:
East and West
Answer
East and west directions form an angle of $180^\circ $, which is a straight angle.
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Question 231 Mark
By using tracing paper compare the angles in the pairs given in Fig.
Answer
Using tracing paper, we get that: $\angle\text{PQR}$ is greater than $\angle\text{AOB}.$
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Question 241 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle:
$90^\circ $
Answer
An acute angle measures between $0^{\circ}$ and $90^{\circ}$. An obtuse angle measures between $90^{\circ}$ and $180^{\circ}$. A straight angle measures $180^{\circ}$. A right angle measures $90^{\circ}$. A zero angle measures $0^{\circ}$ and a complete angle measures $360^{\circ}$. $90^{\circ}$ is a right angle.
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Question 251 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle:
$180^\circ $
Answer
An acute angle measures between $0^{\circ}$ and $90^{\circ}$. An obtuse angle measures between $90^{\circ}$ and $180^{\circ}$. A straight angle measures $180^{\circ}$. A right angle measures $90^{\circ}$. A zero angle measures $0^{\circ}$ and a complete angle measures $360^{\circ}$. $180^{\circ}$ is a straight angle.
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Question 261 Mark
By simply looking at the pair of angles given in Figure, state which of the angles in the pairs is greater:
Answer
$\angle\text{UVW}$ is greater than $\angle\text{XYZ}.$
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Question 271 Mark
By using tracing paper compare the angles in the pairs given in Fig.
Answer
Using tracing paper, we get that: $\angle\text{PQR}$ is greater than $\angle\text{EFG}.$
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Question 281 Mark
State the kind of angle, in each case, formed between the following directions: North and South-East
Answer
North and south-east directions form an angle of $135^\circ $, which is an obtuse angle.
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Question 291 Mark
Classify the following angles as acute, obtuse, straight, right, zero and complete angle:$ 29^\circ $
Answer
An acute angle measures between $0^{\circ}$ and $90^{\circ}$. An obtuse angle measures between $90^{\circ}$ and $180^{\circ}$. A straight angle measures $180^{\circ}$. A right angle measures $90^{\circ}$. A zero angle measures $0^{\circ}$ and a complete angle measures $360^{\circ} .29^{\circ}$ is an acute angle.
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Question 301 Mark
State the kind of the following angles:
Answer
Obtuse angle, as it measures between $90^\circ $ and $180^\circ .$
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Question 311 Mark
By simply looking at the pair of angles given in Figure, state which of the angles in the pairs is greater:
Answer
$\angle\text{AOB}$ is greater than $\angle\text{DEF}.$
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Question 321 Mark
By using tracing paper compare the angles in the pairs given in Fig.
Answer
Using tracing paper, we get that: $\angle\text{RST}$ is greater than $\angle\text{XYZ}.$
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