Ncert Solutions For Class 6 Maths Ex 5.3

Ncert Solutions For Class 6 Maths Chapter 5 Ex 5.3

Question 1:

Match the correct options

A) Straight angle i) Less than one-fourth of a revolution
B) Right angle ii) More than half a revolution
C) Acute angle iii) Half of a revolution
D) Obtuse angle iv) One-fourth of a revolution
E) Reflex angle v) Between \(\frac{1}{4}\) and \(\frac{1}{2}\) of a revolution
vi) One complete revolution

Answer:

A) Straight angle — iii) Half of a revolution

Reason

\(180^{\circ}\) is considered as a straight line and half of revolution is also \(180^{\circ}\)

B) Right angle — iv) One-fourth of a revolution

Reason

\(90^{\circ}\) is considered as a straight line and half of revolution is also \(90^{\circ}\).

C) Acute angle — i) Less than one-fourth of a revolution

Reason

The angle which is less than \(90^{\circ}\) is called acute angle and also less than one-fourth of a revolution is the angle less than \(90^{\circ}\)

D) Obtuse angle — v) Between \(\frac{1}{4}\) and \(\frac{1}{2}\) of a revolution

Reason

The angle which is greater than \(90^{\circ}\) and less than \(180^{\circ}\) is called obtuse angle and also the value between \(\frac{1}{4}\) and \(\frac{1}{2}\) of a revolution also lies between \(90^{\circ}\) and \(180^{\circ}\)

E) Reflex angle – ii) More than half a revolution

Reason

The angle which is greater than \(180^{\circ}\) but less than \(360^{\circ}\) is called reflex angle and also more than half a revolution is the angle whose measure is greater than \(180^{\circ}\).

 

Question 2:

Classify the following angles as ( Right/Reflex/Obtuse/Acute)

a)

2

 

Answer:

Acute angle ( less than \(90^{\circ}\) )

 

b)

3

Answer:

Obtuse angle (greater than \(90^{\circ}\) and less than \(180^{\circ}\))

 

c)

4

Answer:

Right angle (equals \(90^{\circ}\))

 

d)

5

Answer:

Reflex angle (greater than \(180^{\circ}\) but less than \(360^{\circ}\))

 

e)

6

Answer:

Straight angle (equals \(180^{\circ}\))

 

f)

7

Answer:

Acute angle ( less than \(90^{\circ}\) )