# At what time after 7:00 pm will the hands of the clock be opposite to each other?

##### 2 Answers

#### Explanation:

The minute & hour hands of a clock will be opposite to each other i.e. angle between hands will be

Just at 7.00pm the hour hand is at 7 and minute hand is at 12. Each minute division makes

At 7.00pm a reflex angle of

Let x minute after 7.00pm the hands of the clock will be opposite to each other.Then the angle between the hands will be

We know hour hand rotates

So in x minute the hour hand will increase the reflex angle by

In this x minute the minute hand will decrease the reflex angle by

Hence

So at 7 past