Match the following :
`{:((i),"Straight angle of a revolution",(a),"Less than one-fourth of a revolution"),((ii),"Right angle",(b),"More than half a revolution"),((iii),"Acute angle",(c),"Half of a revolution"),((iv),"Obtuse angle",(d),"One-fourth of a revolution"),((v),"Reflex angle",(e),"Between"(1)/(4) and (1)/(2)"of a revolution"),(,,(f),"One complete revolution"):}`

Answer

To solve the matching question, we will analyze each angle type and its corresponding revolution measurement.

1. **Straight Angle**:
- A straight angle measures 180 degrees.
- In terms of revolution, 180 degrees is equivalent to half of a revolution.
- **Match**: (i) "Straight angle of a revolution" matches with (c) "Half of a revolution".

2. **Right Angle**:
- A right angle measures 90 degrees.
- In terms of revolution, 90 degrees is equivalent to one-fourth of a revolution.
- **Match**: (ii) "Right angle" matches with (d) "One-fourth of a revolution".

3. **Acute Angle**:
- An acute angle measures less than 90 degrees.
- Since 90 degrees is one-fourth of a revolution, an acute angle will be less than one-fourth of a revolution.
- **Match**: (iii) "Acute angle" matches with (a) "Less than one-fourth of a revolution".

4. **Obtuse Angle**:
- An obtuse angle measures more than 90 degrees but less than 180 degrees.
- Therefore, it is greater than one-fourth of a revolution (90 degrees) and less than half a revolution (180 degrees).
- **Match**: (iv) "Obtuse angle" matches with (e) "Between (1/4) and (1/2) of a revolution".

5. **Reflex Angle**:
- A reflex angle measures more than 180 degrees and less than 360 degrees.
- This means it is more than half a revolution (180 degrees) but less than a full revolution (360 degrees).
- **Match**: (v) "Reflex angle" matches with (b) "More than half a revolution".

### Final Matches:
- (i) Straight angle of a revolution → (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 (1/4) and (1/2) of a revolution
- (v) Reflex angle → (b) More than half a revolution