30 minutes.
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30 minutes have past if it's half past the hours. As a side effect 30 minutes is left till the hour ends if it's half past the hour.
From a quarter to the hour to a quarter past the hour, it is the hour, whilefrom a quarter past the hour to a quarter to the hour, it is the half hour.
30 minutes
Five minutes past midnight
8 hours and 45 minutes