Question

Match the following:

(i)	Straight angle	(a)	Less than one-fourth of a revolution
(ii)	Right angle	(b)	More than half of revolution
(iii)	Acute angle	(c)	Half of a revolution
(iv)	Obtuse angle	(d)	One-fourth of a revolution
(v)	Reflex angle	(e)	Between $\frac{1}{4}$ and $\frac{1}{2}$ of a revolution

Accepted Answer

We have,

Straight angle is $180 °$ and one complete revolution is $360 °$

Now, $\frac{180 °}{360 °} = \frac{1}{2}$

Therefore, straight angle is half of revolution.
Right angle is $90 °$ and $\frac{90 °}{360 °} = \frac{1}{4}$

Therefore, right angle is $\frac{1}{4}$ of revolution.

Acute angle is an angle between $0 °$ to $90 °$ .

Therefore, it implies less than one-fourth of a revolution.
Obtuse angle is an angle between $90 °$ to $180 °$ and $\frac{180 °}{360 °} = \frac{1}{2}$

Therefore, it implies between $\frac{1}{4}$ and $\frac{1}{2}$ of a revolution.
Reflex angle is an angle greater than $180^{o}$ .

Thus, it implies more than half a revolution.

Hence, the completed table is as follows:

(i) Straight angle (c) Half of a revolution

(ii) Right angle (d) One-fourth of a revolution

(iii) Acute angle (a) Less than one-fourth of a revolution

(iv) Obtuse angle (e) Between $\frac{1}{4}$ and $\frac{1}{2}$ of a revolution

(v) Reflex angle (b) More than half of a revolution

NCERT Solutions for Chapter: Understanding Elementary Shapes, Exercise 3: EXERCISE 5.3

NCERT Mathematics Solutions for Exercise - NCERT Solutions for Chapter: Understanding Elementary Shapes, Exercise 3: EXERCISE 5.3

Questions from NCERT Solutions for Chapter: Understanding Elementary Shapes, Exercise 3: EXERCISE 5.3 with Hints & Solutions

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