## NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes (Ex 5.3) Exercise 5.3

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## Access NCERT Solutions for Class 6 Maths Chapter - 5 - Understanding Elementary Shapes

Exercise - 5.3

1. Match the following:

(i) Straight angle
| (a) Less than one-fourth a revolution |

(ii) Right angle | (b) More than half a revolution |

(iii) Acute angle | (c) Half of a revolution |

(iv) Obtuse angle | (d) One-fourth a revolution |

(v) Reflex angle | (e) Between $\dfrac{1}{4}$ and $\dfrac{1}{2}$ of a revolution |

(f) One complete revolution |

Ans: We will match the given terms by looking at their definitions first and then matching them with the given options. The terms are matched as follows –

i. Straight Angle –

A straight angle is that angle which is formed over a straight line. We know that the measure of the angle over a straight line is $180^\circ $.

Also, we know that the measure of an angle for a circle is $360^\circ $. This means that the measure for a complete revolution is $360^\circ $.

So, as $180^\circ $ is half of $360^\circ $, it can be expressed as half of a revolution.

Therefore, option (i) matches with option (c).

ii. Right Angle –

A right angle is that angle which is formed between two perpendicular lines. We know that the measure of a right angle is $90^\circ $.

Also, we know that the measure of an angle for a circle is $360^\circ $. This means that the measure for a complete revolution is $360^\circ $.

So, as $90^\circ $ is one-fourth of $360^\circ $, it can be expressed as one-fourth of a revolution.

Therefore, option (ii) matches with option (d).

iii. Acute Angle –

An acute angle is that angle which measures between $0^\circ $ and $90^\circ $. In other words, the measure of an acute angle is less than $90^\circ $.

Also, we know that the measure of an angle for a circle is $360^\circ $. This means that the measure for a complete revolution is $360^\circ $.

So, as $90^\circ $ is one-fourth of $360^\circ $, it can be expressed as one-fourth of a revolution. Thus, less than $90^\circ $ can be expressed as less than one-fourth of a revolution.

Therefore, option (iii) matches with option (a).

iv. Obtuse Angle –

An obtuse angle is that angle which measures between $90^\circ$ and $180^\circ $. In other words, the measure of an obtuse angle is greater than $90^\circ $ and lesser than $180^\circ $.

Also, we know that the measure of an angle for a circle is $360^\circ$. This means that the measure for a complete revolution is $360^\circ$.

So, as $90^\circ$ is one-fourth of $360^\circ$, it can be expressed as one-fourth of a revolution.

Also, as $180^\circ$ is half of $360^\circ$, it can be expressed as half of a revolution.

Thus, between $90^\circ $ and $180^\circ $ can be expressed as between $\dfrac{1}{4}$ and $\dfrac{1}{2}$ of a revolution.

Therefore, option (iv) matches with option (e).

v. Reflex Angle –

A reflex angle is that angle which has a measure of more than $180^\circ $.

So, as $180^\circ$ is half of $360^\circ$, the reflex angle can be expressed as more than half of a revolution.

Therefore, option (v) matches with option (b).

The matched pairs are as follows,

(i)-(c), (ii)-(d), (iii)-(a), (iv)-(e), and (v)-(b).

2. Classify each one of the following angles as right, straight, acute, obtuse or reflex.

(a)

Ans: From the given figure we can see that the measure of the given angle is less than $90^\circ $. Also, we know that the angles having measures less than $90^\circ $ are acute angles. Therefore, the angle given in the figure is classified as an acute angle.

(b)

Ans: From the given figure we can see that the measure of the given angle is more than $90^\circ $. Also, we know that the angles having measures more than $90^\circ $ but less than $180^\circ $ are obtuse angles.

Therefore, the angle given in the figure is classified as an obtuse angle.

(c)

Ans: From the given figure we can see that the measure of the given angle is $90^\circ $.

Also, we know that the angles having measures of $90^\circ $ are right angles.

Therefore, the angle given in the figure is classified as right angle.

(d)

Ans: From the given figure we can see that the measure of the given angle is greater than $180^\circ $.

Also, we know that the angles have measures greater than $180^\circ $ are reflex angles.

Therefore, the angle given in the figure is classified as reflex angle.

(e)

Ans: From the given figure we can see that the measure of the given angle is $180^\circ $.

Also, we know that the angles having measures of $180^\circ $ are straight angles.

Therefore, the angle given in the figure is classified as straight angle.

(f)

Ans: From the given figure we can see that the measure of the given angles is less than $90^\circ $.

Also, we know that the angles having measures less than $90^\circ $ are acute angles.

Therefore, the angles given in the figure are classified as acute angles.

## NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.3

Opting for the NCERT solutions for Ex 5.3 Class 6 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 5.3 Class 6 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

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