Question

at what time the hands of clock are at angle of 20 degree between 8:30 and 9 o clock for first time

Answer 1

Angle made by minute hand when hour hand rotates completes an hour = 360°

60 minute = 360 degree

1 minute= 6 degree

$\frac{1}{6}$ minute = 1 degree

20 degree = $\frac{20}{6}$  minute

Angle of 20 degree is made between 8:30 and 9 o clock for first time= 8: 30 +  $\frac{20}{6}$  minute = 8: 30 minute + 3 minute 34 second = 8: 33 minute 34 second