Well-designed AP 6th Class Maths Textbook Solutions Chapter 5 Understanding Elementary Shapes Exercise 5.4 offers step-by-step explanations to help students understand problem-solving strategies.
Understanding Elementary Shapes Class 6 Exercise 5.4 Solutions – 6th Class Maths 5.4 Exercise Solutions
Question 1.
What is the measure of
(i) a right angle ? (ii) a straight angle ?
Solution:
i) Measure of a right angle = 90°
ii) Measure of a straight angle = 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
a) 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) 30°, 60°, 55° and 75° are some acute angles.
b) 105°, 120°, 150° and 135° are some obtuse angles.
Question 4.
Measure the angles given below using the Protractor and write down the measure.
Solution:
a) 45°
b) 135°
c) 90°
d) 60°, 90°, 135°
Question 5.
Which angle has a large measure ? First estimate and then measure.
Solution:
Measure of Angle A = 45°
Measure of Angle B = 60°
B is larger angle.
Question 6.
From these two angles which has larger measure? Estimate and then confirm by measuring them.
Solution:
The Opening of angle (b) is more than angle (a).
∴ Mesure of angle (a) = 45°
and the measure of angle (b) = 60°
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:
a) Measure of the angle = 45°
b) Measure of the angle = 120°
c) Measure of the angle = 60°
d) Measure of the angle = 135°
Question 9.
Find the angle measure between the hands of the clock in each figure:
Solution:
i) The angle between hour hand and minute hand of a clock at 9:00 a.m = 90°
ii) The angle between hour hand and. minute hand of a colck at 1300 p.m = 30°
iii) The angle between hour hand and minutehand of a clock 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:
It is an activity. So try it yourself.
Question 11.
Measure and classify each angle:
| Angle | Measure | Type |
| ∠AOB | ||
| ∠AOC | ||
| ∠BOC | ||
| ∠DOC | ||
| ∠DOA | ||
| ∠DOB |
Solution:
| Angle | Measure | Type |
| ∠AOB | 40° | Acute angle |
| ∠AOC | 125° | Obtuse angle |
| ∠BOC | 85° | Acute angle |
| ∠DOC | 95° | Obtuse angle |
| ∠DOA | 140° | Obtuse angle |
| ∠DOB | 180° | Straight angle |