what time between 2 and 3 the acute angle between the hours hand and the minute hand will be 50 degree
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For finding 1 minute we will solve this:
1 min = 360 ÷ 60
= 6º
For finding 1 hour we will solve this:
1 hour = 360 ÷ 12
= 30º
Angles which the hour hand made:
hour hand = (2 x 30) + (x/60 x 30)
= (60 + x/2)º
Angles which the minute hand made:
1 min = 6º
Means x min = 6xº
Now we will solve for x:
6x - (60 + x/2) = 50
6x - 60 - x/2 = 50
11x/2 = 110
11x = 220
x = 20
So the time is 2:20
If there is any confusion please leave a comment below.
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