If at 1'oclock , the angle between the hands is 30 degrees.
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What is the angle at 2'o clock?
What is angle at 4'o clock?
What is the angle between them at 3'o clock?
And at 9'o clock?

Explanation

i)`60^(circ)`

ii) `120^(circ)`

iii) `90^(circ)`

iv) `90^(circ)`

We càn understand that the angles made between at `30^(prime)` clock and 9o. clock have the same. This is `(1)/(4)` part of a circle. The minute hand also rotates `360^(circ)` in 1 hour.
So, `(360)/(60 times 12)=(6)/(12)=(1)/(12)` rotates in a minute.
The hour hand rotates `(360^(circ))/(12)=300` in an hour.