At 04:30 how much angle will be formed between Minute hand & Hour hand? ____ ° 

Given time: 04:30 

4 : 30 can be written as → 4 hrs + (30 ÷ 60) hrs → 4.5 hours

In 1 hours the hour hand makes an angle = 30°

So, Hour hand makes an angle in 4.5 hours = 30° × 4.5 hours → 135°

In 1 minute, the minute hand makes an angle = 6°

Now, in 30 minutes minute hand makes an angle = 6° × 30 = 180°

So, At 4:30 the angle formed between hour hand and minute hand = 180° - 135° = 45°

Hence, "Option 4" is the correct answer.

Additional InformationMovement of Hour head

12 hr = 360º

1 hr = 30º

60 min = 30º

1 min = 0.5º

Movement of  Minute head       

1 hr =  360º

60 min = 360º

1 min = 6º   

5 min = 30º     

Movement of Seconds head       

1 min =  360º

60 sec = 360º

1 sec = 6º   

5 sec = 30º

Gapping between hour head and minute head

​55 min = 60 min       

1 min = 60/55