1 degree = 60 minutes
1 minute = 60 seconds
In other words, degrees are traditionally divided into smaller units just the same way as hours.
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There is no such thing as one degree of minute.There are 60 minutes of arc in one degree of arc and 60 seconds of arc in one minute of arc
There are 60 minutes of angle in one degree of angle.
60
If you mean "minutes", there are 60 minutes of arc in one degree. If you mean "minors", there don't need to be any. A minor would be an additional course of study different from the principal course for the degree, e.g. a Bachelors degree in History with minors in Latin and Romance Languages. Seldom would there be more than two minors to go with a degree.
there are 60 seconds in one minute. An arc minute is 1/60 degree and an arc second is 1/3600 degree