The hour and minute hands have formed the same angle as 25 minutes ago. Find this corner.

The minute hand goes a full circle (360 degrees) in one hour (60 minutes). Let’s take the initial position of the hour hand as 0 degrees, in 25 minutes it will shift by 25 degrees and will be in the position of 25 degrees. The minute hand, on the other hand, will travel 25/60 of the way in 25 minutes, that is, 360/60 * 25 = 150 degrees. In order for the distance from the beginning of the countdown and after its end between the hour and minute hands to be the same, it is necessary that in 25 minutes the minute hand has time to cover the required distance, plus the distance that the hour hand will make (25 degrees). Subtract 25 from 150 and divide by two (the path before and after passing the hour hand) and we get 62.5 – the distance at which the minute hand was initially and at the end.
Answer: 62.5.



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