# Angle between the minute hand of a clock and hour hand when the time is 7 : 20 am is :(A) 80° (B) 100° (C) 120° (D) 90

Angle traced by the hour hand in 12 hours =

Angle traced by it in 7 hrs 20 minute i.e.,

Angle traced by minute hand in 60 minute =

Angle traced by it in 20 minute =

So, required angle =

Hence, option (B) is correct.

• 69

Angle made by an hour hand in 60 minutes or in an hour = (360 degree/12) = 30 degrees  so angle made by the hour hand in 20 minutes = (30/60)*20 = 10 degrees.

The minute hand travels 360 degree in an hour or in 60 minutes. If you would imagine the position of the hands at 7:20 you would see dat dere would be a difference of 5, 6 and number 7.

So it makes 15 minutes. The angle between 7 and 4 = (360/60)*15 = 90 degree.

Now the minute hand has already gone 10 degrees past 7 as 20 minutes have past.

Hence the deifference between them would be 10+90 = 100 degrees.

Cheers Prachi.

• 10

thanks sir

• 2

100 degrees

• -3
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