Question

what time between 2 and 3 the acute angle between the hours hand and the minute hand will be 50 degree

Answer 1

Thank you for asking this question here is your answer

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.