1.

Find the angle between the minute hand and the hour hand of a clockwhen the time is 7:20 AM.

Answer» Angle made by minute hand in `20` minutes `= 360/60**20 = 120^@`
Now, hour hand makes an angle `360^@` in `720` minutes.
Total number of minutes at `7:20` AM `= 7**60+20 = 440`
So, angle made by hour hand at `7:20` AM `= 360/720**440 = 220^@`
`:.` Angle made between the minute hand and the hour hand at `7:20` AM `=220-120 = 100^@`


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