NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.4 have problems which help students understand the steps to be followed in measuring angles using a protractor. The exercise-wise problems are solved in a step-by-step manner to make it simple for the students during exam preparation. Students improve their time management skills by solving problems using NCERT Solutions Class 6 Maths as reference materials.
NCERT Solutions for Class 6 Chapter 5 Understanding Elementary Shapes Exercise 5.4
Access NCERT Solutions for Class 6 Chapter 5: Understanding Elementary Shapes Exercise 5.4
1. What is the measure of
(i) a right angle?
(ii) a straight angle?
Solutions:
(i) The measure of a right angle is 900
(ii) The measure of a straight angle is 1800
2. Say True or False.
(a) The measure of an acute angle < 900
(b) The measure of an obtuse angle < 900
(c) The measure of a reflex angle > 1800
(d) The measure of one complete revolution = 3600
(e) If m ∠A = 530 and m ∠B = 350, then m ∠A > m ∠B.
Solutions:
(a) True, the measure of an acute angle is less than 900
(b) False, the measure of an obtuse angle is more than 900 but less than 1800
(c) True, the measure of a reflex angle is more than 1800
(d) True, the measure of one complete revolution is 3600
(e) True, ∠A is greater than ∠B
3. Write down the measures of
(a) some acute angles
(b) some obtuse angles
(Give at least two examples of each)
Solutions:
(a) The measures of an acute angle are 500, 650
(b) The measures of obtuse angle are 1100, 1750
4. Measures the angles given below using the protractor and write down the measure.
Solutions:
(a) The measure of an angle is 450
(b) The measure of an angle is 1200
(c) The measure of an angle is 900
(d) The measures of angles are 600, 900 and 1300
5. Which angle has a large measure? First, estimate and then measure.
The measure of Angle A =
The measure of Angle B =
Solutions:
The measure of angle A is 400
The measure of angle B is 680
∠B has a large measure than ∠A.
6. From these two angles, which has a larger measure? Estimate and then confirm by measuring them.
Solutions:
The measures of these angles are 450 and 550. Hence, the angle shown in the second figure is greater.
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 ______.
Solutions:
(a) An angle whose measure is less than that of a right angle is an acute angle.
(b) An angle whose measure is greater than that of a right angle is an obtuse angle (but less than 1800).
(c) An angle whose measure is the sum of the measures of two right angles is a straight angle.
(d) When the sum of the measures of two angles is that of a right angle, then each one of them is an acute angle.
(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 an obtuse angle.
8. Find the measure of the angle shown in each figure. (First, estimate with your eyes and then find the actual measurement with a protractor).
Solutions:
The measures of the angles shown in the above figures are 400, 1300, 650 and 1350
9. Find the angle measure between the hands of the clock in each figure.
Solutions:
The angle measurement between the hands of the clock are 900, 300 and 1800
10. Investigate
In the given figure, the angle measure 300. Look at the same figure through a magnifying glass. Does the angle become larger? Does the size of the angle change?
Solutions:
The measure of an angle will not change by viewing through a magnifying glass.
11. Measure and classify each angle.
| Angle | Measure | Type | |
| ∠AOB | |||
| ∠AOC | |||
| ∠BOC | |||
| ∠DOC | |||
| ∠DOA | |||
| ∠DOB | |||
Solutions:
| Angle | Measure | Type |
| ∠AOB | 400 | Acute |
| ∠AOC | 1250 | Obtuse |
| ∠BOC | 850 | Acute |
| ∠DOC | 950 | Obtuse |
| ∠DOA | 1400 | Obtuse |
| ∠DOB | 1800 | Straight |
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NCERT Solutions for Class 6 Maths Chapter 5
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