3 Marks Question

Question 13 Marks

From figure, list the points which are:
$i.\ $In the interior of $\angle\text{P}$
$ii.\ $In the exterior of $\angle\text{P}$
$iii.\ $Lie on $\angle\text{P}$

Answer

$i.\ $Points $J$ and $C$ lie in the interior of $\angle\text{P}.$
$ii.\ $Points $D$ and $B$ lie in the exterior of $\angle\text{P}.$
$iii.\ $Points $A, P$ and $M$ lie on $\angle\text{P}.$

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Question 23 Marks

How many angles are formed in the figures $(i), (ii)$ and $(iii)?$ Name them.

Answer

$i.\ $Three angles are formed, namely $\angle\text{ABC}, \angle\text{BAC}$ and $\angle\text{ACB.}$
$ii.\ $Four angles are formed, namely $\angle\text{ABC}, \angle\text{ADC}, \angle\text{BCD}$ and $\angle\text{BAD.}$
$iii.\ $Eight angles are formed namely $\angle\text{ADC}, \angle\text{ACD}, \angle\text{DAC,} \angle\text{ACB}, \angle\text{ABC}, \angle\text{BAC}, \angle\text{BCD}$ and $\angle\text{BAD.}$

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Question 33 Marks

Give three examples of angles from your environment.

Answer

Three examples of angles from our environment are:
$i.\ $Angle formed by the minute and hour hands of an analog clock.
$ii.\ $Angle formed by the two adjacent walls of a room.
$iii.\ $Angle formed by the two adjacent fingers of our hand.

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Question 43 Marks

In figure, Write another name for:

$i.\ \angle1$
$ii.\ \angle2$
$iii.\ \angle3$

Answer

$i.\ \angle\text{BPE}$
$ii.\ \angle\text{PQC}$
$iii.\ \angle\text{DQF}$

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Question 53 Marks

Using only a ruler, draw an acute angle, a right angle and an obtuse angle in your notebook and name them.

Answer


Acute angle $\angle\text{ABC}$	Right angle $\angle\text{LMN}$	Obtuse angle $\angle\text{PQR}$

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Question 63 Marks

Give two examples each of right, acute and obtuse angles from your environment.

Answer

Two examples of right angle in our environment are:
$i.\ $The angle formed by the two adjacent walls of a room is a right angle.
$ii.\ $The angle formed by the two adjacent edges of a book is a right angle.
Two examples of acute angle in our environment are:
$i.\ $The angle formed between the two adjacent fingers of our hand.
$ii.\ $The angle between the two adjacent sides of the letter $Z$ of English alphabet.
Two examples of obtuse angle in our environment are:
$i.\ $The smaller angle formed by the two adjacent blades of a fan.
$ii.\ $The smaller angle formed by the two sloping sides of a roof of a but is an obtuse angle.

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Question 73 Marks

In Figure, write another name for:

$i.\ \angle1$
$ii.\ \angle2$
$iii.\ \angle3$
$iv.\ \angle4$

Answer

$i.\ $Another name for $\angle1$ is $\angle\text{BOD}.$
$ii.\ $Another name for $\angle2$ is $\angle\text{BOC}.$
$iii.\ $Another name for $\angle3$ is $\angle\text{AOC}.$
$iv.\ $Another name for $\angle4$ is $\angle\text{AOD.}$

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Question 83 Marks

What is the measure of the angle in degrees between:
$i.\ $North and West?
$ii.\ $North and South?

$iii.\ $North and South-East?

Answer

The measure of the angle between:
$i.\ $North and West is $90$ degrees.
$ii.\ $North and South is $180$ degrees.
$iii.\ $North and South-East is $135$ degrees.

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Maths 3 Marks Question

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