RS Aggrawal 2020 2021 Solutions for Class 6 Maths Chapter 13 Angles And Their Measurement are provided here with simple step-by-step explanations. These solutions for Angles And Their Measurement are extremely popular among class 6 students for Maths Angles And Their Measurement Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RS Aggrawal 2020 2021 Book of class 6 Maths Chapter 13 are provided here for you for free. You will also love the ad-free experience on Meritnationâ€™s RS Aggrawal 2020 2021 Solutions. All RS Aggrawal 2020 2021 Solutions for class 6 Maths are prepared by experts and are 100% accurate.

#### Question 1:

Three examples from our daily life are as follows:

1)  Angle formed at the vertex of our elbow with the upper arm and the lower arm as the two rays. This angle will vary as per the position of our arm.

2)  Angle formed between the two hands of the clock that are hinged at a point.

3)  Angle formed between the two hands of a windmill. They are also hinged at a point, which is called the vertex of that angle.

#### Question 2:

Three examples from our daily life are as follows:

1)  Angle formed at the vertex of our elbow with the upper arm and the lower arm as the two rays. This angle will vary as per the position of our arm.

2)  Angle formed between the two hands of the clock that are hinged at a point.

3)  Angle formed between the two hands of a windmill. They are also hinged at a point, which is called the vertex of that angle.

The vertex is B.

Arms of .

#### Question 3:

The vertex is B.

Arms of .

(i) Here, three angles are formed. They are
(ii) Here, four angles are formed. They are .
(iii) Here, eight angles are formed. They are .

#### Question 4:

(i) Here, three angles are formed. They are
(ii) Here, four angles are formed. They are .
(iii) Here, eight angles are formed. They are .

(i) Q and S are in the interior of $\angle$AOB.

(ii) P and R are in the exterior of $\angle$AOB.

(iii) A, O, B, N and T lie on the angle $\angle$AOB.

#### Question 5:

(i) Q and S are in the interior of $\angle$AOB.

(ii) P and R are in the exterior of $\angle$AOB.

(iii) A, O, B, N and T lie on the angle $\angle$AOB.

(i)False
Point C is on the angle $\angle$AOC.

(ii)True
Point C lies in the interior of $\angle$AOD.

(iii) False
Point D lies in the exterior of $\angle$AOC.

(iv) True
Point B lies in the exterior of $\angle$AOD.

(v) False
Point C lies in the interior of $\angle$AOB.

#### Question 6:

(i)False
Point C is on the angle $\angle$AOC.

(ii)True
Point C lies in the interior of $\angle$AOD.

(iii) False
Point D lies in the exterior of $\angle$AOC.

(iv) True
Point B lies in the exterior of $\angle$AOD.

(v) False
Point C lies in the interior of $\angle$AOB.

(i) $\angle$EPB
(ii) $\angle$PQC
(iii) $\angle$FQD

#### Question 1:

(i) $\angle$EPB
(ii) $\angle$PQC
(iii) $\angle$FQD

(i) $\angle$AOB is an obtuse angle since its measure is more than 90$°$.

(ii) $\angle$COD is a right angle since its measure is 90$°$.

(iii) $\angle$FOE is a straight angle since its measure is 180$°$.

(iv) $\angle$POQ is a reflex angle since its measure is more than 180$°$ but less than 360$°$.

(v)   $\angle$HOG is an acute angle since its measure is more than 0 but less than 90$°$.

(vi)  $\angle$POP is a complete angle since its measure is 360$°$.

#### Question 2:

(i) $\angle$AOB is an obtuse angle since its measure is more than 90$°$.

(ii) $\angle$COD is a right angle since its measure is 90$°$.

(iii) $\angle$FOE is a straight angle since its measure is 180$°$.

(iv) $\angle$POQ is a reflex angle since its measure is more than 180$°$ but less than 360$°$.

(v)   $\angle$HOG is an acute angle since its measure is more than 0 but less than 90$°$.

(vi)  $\angle$POP is a complete angle since its measure is 360$°$.

(i) Acute angle
This is because its measure is less than 90$°$ but more than 0$°$.
(ii) Obtuse angle
This is because its measure is more than 90$°$ but less than 180$°$
(iii) Obtuse angle
This is because its measure is more than 90$°$ but less than 180$°$.
(iv)Right angle
This is because its measure is 90$°$.
(v) Reflex angle
This is because its measure is more than 180$°$ but less than 360$°$.
(vi) Complete angle
This is because its measure is 360$°$.
(vii)  Obtuse angle
This is because its measure is more than 90$°$ but less than 180$°$.
(viii) Obtuse angle
This is because its measure is more than 90$°$ but less than 180$°$.
(ix) Acute angle
This is because its measure is more than 0$°$ but less than 90$°$.
(x)  Acute angle
This is because its measure is more than 0$°$ but less than 90$°$.
(xi)  Zero angle
This is because its measure is zero.
(xii)  Acute angle
This is because its measure is more than 0$°$ but less than 90$°$.

#### Question 3:

(i) Acute angle
This is because its measure is less than 90$°$ but more than 0$°$.
(ii) Obtuse angle
This is because its measure is more than 90$°$ but less than 180$°$
(iii) Obtuse angle
This is because its measure is more than 90$°$ but less than 180$°$.
(iv)Right angle
This is because its measure is 90$°$.
(v) Reflex angle
This is because its measure is more than 180$°$ but less than 360$°$.
(vi) Complete angle
This is because its measure is 360$°$.
(vii)  Obtuse angle
This is because its measure is more than 90$°$ but less than 180$°$.
(viii) Obtuse angle
This is because its measure is more than 90$°$ but less than 180$°$.
(ix) Acute angle
This is because its measure is more than 0$°$ but less than 90$°$.
(x)  Acute angle
This is because its measure is more than 0$°$ but less than 90$°$.
(xi)  Zero angle
This is because its measure is zero.
(xii)  Acute angle
This is because its measure is more than 0$°$ but less than 90$°$.

(i) One right angle has 90$°$.
(ii)  Two right angles have 90$°$ + 90$°$ = 180$°$.
(iii) Three right angles have 90$°$ + 90$°$ + 90$°$ = 270$°$.
(iv)  Four right angles have 90$°$ + 90$°$ + 90$°$ + 90$°$ = 360$°$.
(v) $\frac{2}{3}×90=60°$
(vi)

#### Question 4:

(i) One right angle has 90$°$.
(ii)  Two right angles have 90$°$ + 90$°$ = 180$°$.
(iii) Three right angles have 90$°$ + 90$°$ + 90$°$ = 270$°$.
(iv)  Four right angles have 90$°$ + 90$°$ + 90$°$ + 90$°$ = 360$°$.
(v) $\frac{2}{3}×90=60°$
(vi)

(i) At 3 o'clock the angle formed between the hour hand and the minute hand is right angle, i.e. 90$°$.
(ii) At 6 o'clock the angle formed between the hour hand and the minute hand is a straight angle, i.e. 180$°$.
(iii) At 12 o'clock the angle formed between the hour hand and the minute hand is a complete angle, i.e. 0$°$.
This is because the hour hand and minute hand coincides to each other at 12 o'clock.
(iv) At 9 o'clock the angle formed between the hour hand and the minute hand is a right angle, i.e. 90$°$.

#### Question 5:

(i) At 3 o'clock the angle formed between the hour hand and the minute hand is right angle, i.e. 90$°$.
(ii) At 6 o'clock the angle formed between the hour hand and the minute hand is a straight angle, i.e. 180$°$.
(iii) At 12 o'clock the angle formed between the hour hand and the minute hand is a complete angle, i.e. 0$°$.
This is because the hour hand and minute hand coincides to each other at 12 o'clock.
(iv) At 9 o'clock the angle formed between the hour hand and the minute hand is a right angle, i.e. 90$°$.

(i) Acute angle

(ii) Obtuse angle

(iii) Straight angle

#### Question 1:

(i) Acute angle

(ii) Obtuse angle

(iii) Straight angle

(i)
(ii)
(iii)
(iv)
(v)
(vi)

We have measured all the above angles by placing the protractor on one of the arms of the angle and measuring the angle through the other arm that coincides with the angle on the protractor.

#### Question 2:

(i)
(ii)
(iii)
(iv)
(v)
(vi)

We have measured all the above angles by placing the protractor on one of the arms of the angle and measuring the angle through the other arm that coincides with the angle on the protractor.

Steps to follow:

1. Draw a ray QP with Q as the initial point.
2. Place the protractor on QP. With its centre on Q, mark a point R against the given angle mark of the protractor.
3. Join RQ. Now, PQR is the required angle.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

#### Question 3:

Steps to follow:

1. Draw a ray QP with Q as the initial point.
2. Place the protractor on QP. With its centre on Q, mark a point R against the given angle mark of the protractor.
3. Join RQ. Now, PQR is the required angle.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

We can see that .
Steps to follow to construct angle $\angle$DEF equal to $\angle$ABC:

• Draw a ray EF with E as the initial point.
• Place the protractor on EF. With its centre at E, mark a point D against the angle 47$°$ of the protractor.
• Join DE.  $\angle$DEF = 47$°$ = $\angle$ABC is the required angle.

#### Question 4:

We can see that .
Steps to follow to construct angle $\angle$DEF equal to $\angle$ABC:

• Draw a ray EF with E as the initial point.
• Place the protractor on EF. With its centre at E, mark a point D against the angle 47$°$ of the protractor.
• Join DE.  $\angle$DEF = 47$°$ = $\angle$ABC is the required angle.

1. Draw a line segment AB of length 6 cm.
2. Mark point C on AB such that AC is equal to 4 cm.
3. Place the protractor on AB such that the centre of the protractor is on C and its base lies along AB.
4. Holding the protractor, mark a point D on the paper against the 90$°$ mark of the protractor.
5. Remove the protractor and draw a ray CD with C as the initial point.
Now, CD $\perp$ AB

#### Question 1:

1. Draw a line segment AB of length 6 cm.
2. Mark point C on AB such that AC is equal to 4 cm.
3. Place the protractor on AB such that the centre of the protractor is on C and its base lies along AB.
4. Holding the protractor, mark a point D on the paper against the 90$°$ mark of the protractor.
5. Remove the protractor and draw a ray CD with C as the initial point.
Now, CD $\perp$ AB

(c) On the angle
Vertex is the initial point of two rays between which the angle is formed. Therefore, it lies on the angle.

#### Question 2:

(c) On the angle
Vertex is the initial point of two rays between which the angle is formed. Therefore, it lies on the angle.

(c) an angle
The initial point is called the vertex.

#### Question 3:

(c) an angle
The initial point is called the vertex.

(c) straight angle

#### Question 4:

(c) straight angle

(b) right angle

#### Question 5:

(b) right angle

(b) an obtuse angle
This is because it is more than 90$°$ but less than 180$°$.

#### Question 6:

(b) an obtuse angle
This is because it is more than 90$°$ but less than 180$°$.

(d) a reflex angle
This is because it is more than 180$°$ but less than 360$°$.

#### Question 7:

(d) a reflex angle
This is because it is more than 180$°$ but less than 360$°$.

(c) 180$°$

#### Question 8:

(c) 180$°$

(c) a reflex angle
This is because it is more than 180$°$ but less than 360$°$.

#### Question 9:

(c) a reflex angle
This is because it is more than 180$°$ but less than 360$°$.

(d) a complete angle
This is because it completes the rotation of 360$°$.

#### Question 10:

(d) a complete angle
This is because it completes the rotation of 360$°$.

(b) more than 180

#### Question 11:

(b) more than 180

(b)
2 right angles =  (straight angle)

#### Question 12:

(b)
2 right angles =  (straight angle)

(b) 135$°$

#### Question 13:

(b) 135$°$

( c)  10$°$
Measure of the angle of the wheel = Complete angle = 360$°$