# NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes (Ex 5.4) Exercise 5.4

## NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes (Ex 5.4) Exercise 5.4

Maths is one of the most important academic disciplines. No matter if students are from the Humanities, Sciences, or Commerce stream, all of them need to have a fundamental understanding of Maths. In addition to helping them perform well on their examination, students will gain long-term advantages by understanding some basic mathematical concepts. Many students are disinterested in studying Maths these days due to its difficulty.

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Students are introduced to a variety of concepts through mathematical routing. Humans first learnt to count items that are visible to the naked eye by counting, which is the basis or beginning of Maths. The two primary subcategories of Maths are Applied Maths and Pure Maths, which include Numerical Systems, Geometry, Matrices, Algebra, Topology and Calculus (Engineering, Chemistry, Physics, Numerical Analysis, etc). Mathematical formulas are frequently based on different concepts. Students can learn them by constantly using their formulas to respond to queries. Some problems can be quickly solved using mathematical methods.

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### Access Other Exercises of Class 6 Maths Chapter 5

 Chapter 5 – Understanding Elementary Shapes Exercises Exercise 5.1 7 Questions & Solutions Exercise 5.2 7 Questions & Solutions Exercise 5.3 2 Questions & Solutions Exercise 5.5 4 Questions & Solutions Exercise 5.6 4 Questions & Solutions Exercise 5.7 3 Questions & Solutions Exercise 5.8 5 Questions & Solutions Exercise 5.9 2 Questions & Solutions

## NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes (Ex 5.4) Exercise 5.4

The NCERT Solutions For Class 6 Maths Chapter 5 Exercise 5.4 deal with basic shapes. It offers an improvised understanding that can be used to perform accurate comparisons. Students practise using a protractor for construction in this exercise. There are 11 questions in the NCERT Solutions Class 6 Maths Chapter 5 Exercise 5.4, of which 5 are easy and the other 6 are sums of moderate difficulty. Students will have a thorough understanding of the degree measure with the aid of this practice. A full revolution is divided into 360 equal segments, each representing a degree. Understanding how a protractor may be used to measure and draw angles will help students complete the NCERT Solutions Class 6 Maths Chapter 5 Exercise 5.4.

The protractor’s curving edge is divided into 180 equal sections, each of which is equivalent to one degree, as the students will see. Practising the NCERT Solutions Class 6 Maths Chapter 5 Exercise 5.4 regularly will help students develop better construction techniques and produce more accurate and precise results. Students can review the concepts covered in this exercise by consulting the notes supplied at the end of the chapter. The NCERT Solutions Class 6 Maths Chapter 5 Exercise 5.4 are produced by the experts at Extramarks.

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

Maths has a significant role in human logic and thought. It is important to study Maths for boosting logical thinking and mental strength. In addition, understanding the fundamentals of other courses, such as Science, Social Science, and even Music and the Arts, requires a strong foundation in Maths. Many diverse industries and professions employ Maths. Questions in Engineering, Science, and Economics are answered using the concepts and techniques of Maths. Therefore, one of the most important subjects in a student’s academic career is Maths. If students wish to succeed in the subject, they must continuously practice the NCERT Solutions Class 6 Maths Chapter 5 Exercise 5.4. Students also need to have a firm grasp of Maths to score well on their examinations.

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## NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.4

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Q.1 What is the measure of:
(i) a right angle?
(ii) a straight angle?

Ans.

(i) The measure of a right angle is 90°
(ii) The measure of a straight angle is 180°

Q.2 Say True or False :
(a) The measure of an acute angle < 90°.
(b) The measure of an obtuse angle < 90°.
(c) The measure of a reflex angle > 180°.
(d) The measure of one complete revolution = 360°.
(e) If m∠A = 53° and m∠B = 35°, then m∠A > m∠B.

Ans.

(a) True; acute angle is less than 90°.
(b) False; obtuse angle is greater than 90° and less than 180°.
(c) True; the measure of a reflex angle > 180°.
(d) True; the complete revolution is of 360°.
(e) True; angle A is larger than angle B.

Q.3 Write down the measures of
(a) some acute angles. (b) some obtuse angles. (give at least two examples of each).

Ans.

(a) 23° , 67°

(b) 91° , 120°

Q.4 Measure the angles given below using the Protractor and write down the measure.

Ans.

(a) 45°

(b) 120°

(c) 90°

(d) 60°, 130°, 90°

Q.5 Which angle has a large measure? First estimate and then measure.

Measure of Angle A =
Measure of Angle B =

Ans.

Measure of Angle A = 40°
Measure of Angle B = 60°
So, Angle B has larger measure.

Q.6 From these two angles which has larger measure? Estimate and then confirm by measuring them.

Ans.

Angle in part (b) seems larger.

Measure of angle in (a) = 45°

Measure of angle in (b) = 60°

Q.7 Fill in the blanks with acute, obtuse, right or straight :
(a) An angle whose measure is less than that of a right angle is______.
(b) An angle whose measure is greater than that of a right angle is ______.
(c) An angle whose measure is the sum of the measures of two right angles is _____.
(d) When the sum of the measures of two angles is that of a right angle, then each one of them is ______.
(e) When the sum of the measures of two angles is that of a straight angle and if one of them is acute then the other should be _______.

Ans.

(a) Acute angle
(b) Obtuse angle
(c) Straight angle
(d) Acute angle
(e) Obtuse angle

Q.8 Find the measure of the angle shown in each figure. (First estimate with your eyes and then find the actual measure with a protractor).

Ans.

Measure of given angle is 40°

Measure of given angle is 120°

Measure of given angle is 60°

Measure of given angle is 130°

Q.9 Find the angle measure between the hands of the clock in each figure:

Ans.

(a) Right angle; 90°

(b) Acute angle; 30°

(c) Straight angle; 180°

Q.10 Investigate

In the given figure, the angle measures 30°.
Look at the same figure through a magnifying glass.
Does the angle becomes larger? Does the size of the angle change?

Ans.

No, there is no change in the measurement of the Angle, if looked through a magnifying glass.

Q.11 Measure and classify each angle:

 Angle Measure Type ∠AOB ∠AOC ∠BOC ∠DOC ∠DOA ∠DOB

Ans.

 Angle Measure Type ∠AOB 40° Acute angle ∠AOC 130° Obtuse angle ∠BOC 90° Right angle ∠DOC 90° Right angle ∠DOA 140° Obtuse angle ∠DOB 180° Straight angle