NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.4 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.4.

- Understanding Elementary Shapes Class 6 Ex 5.1
- Understanding Elementary Shapes Class 6 Ex 5.2
- Understanding Elementary Shapes Class 6 Ex 5.3
- Understanding Elementary Shapes Class 6 Ex 5.5
- Understanding Elementary Shapes Class 6 Ex 5.6
- Understanding Elementary Shapes Class 6 Ex 5.7
- Understanding Elementary Shapes Class 6 Ex 5.8
- Understanding Elementary Shapes Class 6 Ex 5.9

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 6 |

Subject |
Maths |

Chapter |
Chapter 5 |

Chapter Name |
Understanding Elementary Shapes |

Exercise |
Ex 5.4 |

Number of Questions Solved |
11 |

Category |
NCERT Solutions |

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

Question 1.

What is the measure of

**(i)** a right angle?

**(ii)** a straight angle?

Solution:

**(i)** 1 right angle = 90°

**(ii)** 1 straight angle = 2 right angles = 2 x 90°=180°

Question 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.

Solution:

**(a)** True

**(b)** False

**(c)** True

**(d)** True

**(e)** True

Question 3.

Write down the measures of

**(a)** some acute angles.

**(b)** some obtuse angles.

(give at least two examples of each).

Solution:

**(a)** Since the measure of an acute angle < 90°. So, two acute angles may be of 60° and 30°.

**(b)** Since the measure of an obtuse angle > 90°. So, two obtuse angles may be of 110° and 120°.

Question 4.

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

Solution:

On measuring the given angles using protractor, we find that

**(a)** 45°

**(b)** 125°

**(c)** 90°

**(d)** ∠1 = 40°, ∠2 = 125° and ∠3 = 95°.

Question 5.

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

Measure of Angle A =

Measure of Angle B =

Solution:

Observing the given angles, we find that

∠B > ∠A

On measuring, we find that

Measure of Angle A =40°

Measure of Angle B = 65°

∴ ∠B > ∠A.

Question 6.

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

Solution:

On observing, we find that

∠B > ∠A

On measuring, we find that

∠A = 45° and ∠B =60°

Thus, ∠B > ∠A.

Question 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 …… .

Solution:

**(a)** acute

**(b)** obtuse

**(c)** straight

**(d)** acute

**(e)** obtuse

Question 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).

Solution:

On estimating without measuring, the measure of the angle shown in each figure is

**(a)** 45°

**(b)** 60°

**(c)** 125°

**(d)** 135°

On measuring with the protractor, we find their measures as under:

**(a)** 40°

**(b)** 65°

**(c)** 130°

**(d)** 135°

Question 9.

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

Solution:

The angle measure between the hands of the clock in the time shown is as under:

At 9.00 a.m. : 90°

At 1.00 p.m. : 30°

At 6.00 p.m. : 180°

Question 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?

Solution:

Looking through a magnifying glass does not make the angle larger and so the size of the angle does not change.

Question 11.

Measure and classify each angle:

Solution:

The measure of angle and its classification is recorded in the given table as under:

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