The angle between the minute and hour hands of a clock at 8:30 is A.

1.	The angle between the minute and hour hands of a clock at 8:30 is A. 80° B. 75° C. 60° D. 105°
Answer» We know, in clock 1 rotation gives 360° i.e. 60 minutes=360° and 12 hours=360° So,1 minute=6° and 1 hour=30° Now, For hour hand: 8 hours=8×30°=240° and for another 30 minute (which is half of hour) =30°÷2=15° i.e. angle traced by hour hand is 240°+15°=255° Now, For minute hand: 30 minute=30×6°=180° i.e. angle traced by minute hand is 180°. So, the angle between hour hand and minute hand=255°-180° =75°

The angle between the minute and hour hands of a clock at 8:30 is A. 80° B. 75° C. 60° D. 105°

Answer»

We know, in clock 1 rotation gives 360°

i.e. 60 minutes=360° and 12 hours=360°

So,1 minute=6° and 1 hour=30°

Now,

For hour hand:

8 hours=8×30°=240° and for another 30 minute (which is half of hour) =30°÷2=15°

i.e. angle traced by hour hand is 240°+15°=255°

Now, For minute hand:

30 minute=30×6°=180°

i.e. angle traced by minute hand is 180°.

So, the angle between hour hand and minute hand=255°-180°

=75°