RS Aggarwal Solutions for Class 6 Chapter 13 Angles and their Measurement are provided here in PDF format. Students are advised to practice RS Aggarwal Solutions to increase their confidence in solving them without any difficulties and also score good marks in examination. Concentrating on RS Aggarwal Solutions for Class 6 and practising them will help the students to know about the chapter well, clearing all their doubts which arise while solving.

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## Download PDF of RS Aggarwal Solutions for Class 6 Chapter 13 Angles and their Measurement

### Access answers to chapter 13 – Angles and their Measurement

**Exercise 13A PAGE NO: 176**

**1. Name three examples of angles from your daily life.**

**Solution**

Scissors, a pair of compasses and clock are the examples of angles.

**2. Name the vertex and the arms of âˆ ABC, given in the figure below.**

**Solution**

In the given figure the vertex is B

Arms of âˆ ABC are rays BA and BC, respectively.

**3. How many angles are formed in each of the figures given below? Name them.**

**Solution**

**(i) **There are three angles in this figure. They are âˆ CAB, âˆ ACB and âˆ ABC

(ii) This figure consists of four angles. They are âˆ BAD, âˆ ABC, âˆ BCD and âˆ CDA

(iii) This figure has eight angles. They are âˆ ABD, âˆ BAD, âˆ ADB, âˆ DBC, âˆ BDC, âˆ DCB, âˆ ABC and âˆ ADC

**Exercise 13B PAGE NO: 179**

**1. State the type of each of the following angles:**

**Solution**

**(i) **âˆ AOB is an obtuse angle since its measure is more than 90^{0}but less than 180^{0}

(ii) âˆ COD is right angle whose measure is 90^{0}

(iii) âˆ FOE is a straight angle whose measure is 180^{0}

(iv) âˆ POQ is reflex angle since its measure is more than 180^{0} but less than 360^{0}

(v) âˆ HOG is an acute angle since its measure is less than 90^{0}

(vi) âˆ POP is complete angle since its measure is 360^{0}

**2. Classify the angles whose magnitudes are given below:**

**(i) 30 ^{0}**

**(ii) 91 ^{0}**

**(iii) 179 ^{0}**

**(iv) 90 ^{0}**

**(v) 181 ^{0}**

**(vi) 360 ^{0}**

**(vii) 128 ^{0}**

**(viii) (90.5) ^{0}**

**(ix) (38.3) ^{0}**

**(x) 80 ^{0}**

**(xi) 0 ^{0}**

**(xii) 15 ^{0}**

**Solution**

**(i) **30^{0 }is an acute angle since it is less than 90^{0 }but more than 0^{0}

(ii) 91^{0} is an obtuse angle as it is more than 90^{0} and less than 180^{0}

(iii) 179^{0} is an obtuse angle since it is more than 90^{0 }and less than 180^{0}

(iv) 90^{0} is right angle as it measure exact 90^{0}

(v) 181^{0} is a reflex angle whose measure is more than 180^{0} but less than 360^{0}

(vi) 360^{0} is a complete angle whose measure is exact 360^{0}

(vii) 128^{0} is an obtuse angle since it is more than 90^{0} but less than 180^{0}

(viii) (90.5)^{0} is an obtuse angle since it is more than 90^{0}

(ix) (38.3)^{0} is an acute angle since it is less than 90^{0}

(x) 80^{0} is an acute angle since it is less than 90^{0}

(xi) 0^{0} is zero angle

(xii) 15^{0} is an acute angle since it is less than 90^{0}

**3. How many degrees are there in**

**(i) one right angles?**

**(ii) two right angles?**

**(iii) three right angles?**

**(iv) four right angles?**

**(v) 2/3 right angle?**

**(vi) 1 right angles?**

**Solution**

(i)** **One right angle measure is 90^{0}

(ii) Two right angles measure = 90^{0} + 90^{0}

= 180^{0}

(iii) Three right angles measure = 90^{0} + 90^{0} + 90^{0}

= 270^{0}

(iv) Four right angle measure = 90^{0} + 90^{0} + 90^{0} + 90^{0}

= 360^{0}

(v) (2 / 3 Ã— 90^{0}) measure = 2 Ã— 30^{0} = 60^{0}

(vi) (1 Ã— Â½ ) right angles measures = (3 / 2 Ã— 90^{0})

= 135^{0}

**Exercise 13C PAGE no: 182**

**1. Measure each of the following angles with the help of a protractor and write the measure in degrees:**

**Solution**

(i) By measuring âˆ BOA placing the protractor on one arm and measuring the angle through the other arm that coincides with the angle of the protractor is 45^{0}

(ii) By measuring âˆ PQR placing the protractor on one arm and measuring the angle through the other arm that coincides with the angle of the protractor is 75^{0}

(iii) By measuring âˆ DEF placing the protractor on one arm and measuring the angle through the other arm that coincides with the angle of the protractor is 135^{0}

(iv) By measuring âˆ LMN placing the protractor on one arm and measuring the angle through the other arm that coincides with the angle of the protractor is 55^{0}

(v) By measuring âˆ RST placing the protractor on one arm and measuring the angle through the other arm that coincides with the angle of the protractor is 135^{0}

(vi) By measuring âˆ GHI placing the protractor on one arm and measuring the angle through the other arm that coincides with the angle of the protractor is 75^{0}

**2. Construct each of the following angles with the help of a protractor:**

**(i) 25 ^{0}**

**(ii) 72 ^{0}**

**(iii) 90 ^{0}**

**(iv) 117 ^{0}**

**(v) 165 ^{0}**

**(vi) 23 ^{0}**

**(vii) 180 ^{0}**

**(viii) 48 ^{0}**

**Solution**

**Exercise 13D PAGE NO: 182**

**Objective Questions**

**Mark () against the correct answer in each of the following:**

**1. Where does the vertex of an angle lie?**

**(a) In its interior**

**(b) In its exterior**

**(c) On the angle**

**(d) None of these**

**Solution**

The common initial point is known as vertex of the angle. Hence, it lies on the angle

Option (c) is the correct answer

**2. The figure formed by two rays with the same initial point is called**

**(a) a ray**

**(b) a line**

**(c) an angle**

**(d) none of these**

**Solution**

The figure formed by the angle with the same initial point is called an angle

Option (c) is the correct answer

**3. An angle measuring 180 ^{0} is called **

**(a) a complete angle**

**(b) a reflex angle**

**(c) a straight angle**

**(d) none of this**

**Solution**

An angle measuring 180^{0} is a straight line

Option (c) is the correct answer

**4. An angle measuring 90 ^{0} is called**

**(a) a straight angle**

**(b) a right angle**

**(c) a complete angle**

**(d) a reflex angle**

**Solution**

An angle measuring 90^{0} is called a right angle

Option (b) is the correct answer

**5. An angle measuring 91 ^{0} is**

**(a) an acute angle**

**(b) an obtuse angle**

**(c) a reflex angle**

**(d) none of this**

**Solution**

An angle measuring 91^{0} is called an obtuse angle which is more than 90^{0} but less than 180^{0}

Option (b) is the correct answer

**6. An angle measuring 270 ^{0} is**

**(a) an obtuse angle**

**(b) an acute angle**

**(c) a straight angle**

**(d) a reflex angle**

**Solution**

An angle measuring 270^{0 }is a reflex angle since it is more than 180^{0} but less than 360^{0}

Option (d) is the correct answer

**7. The measure of the straight angle is**

**(a) 90 ^{0}**

**(b) 150 ^{0}**

**(c) 180 ^{0}**

**(d) 360 ^{0}**

**Solution **

The measure of a straight angle is 180^{0}

### RS Aggarwal Solutions for Class 6 Chapter 13 Angles and their Measurement

Chapter 13 – Angles and their Measurement consists of four exercises. Each question of every exercise present in RS Aggarwal Solutions are well explained. Letâ€™s have a look at the topics which are talked about in this chapter.

- Magnitude of an angle and its measurement
- Measuring an angle by a protractor
- Perpendicular Lines

Also, access RS Aggarwal Solutions for Class 6 Chapter 13 Exercises

### Chapter Brief of RS Aggarwal Solutions for Class 6 Maths Chapter 13 Angles and their Measurement

The figure formed by two rays with the same initial point is called an angle. The common initial point is known as vertex of the angle, and the rays forming the angle are called its arms or sides. Types of angles are acute angle, obtuse angle, right angle, straight angle, reflex angle, complete angle and zero angle. Clock, compass, arms are examples of angles.