Find the angle between hour hand and minute hand in a clock quarter to six
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If the minute-hand is at 9 and hour-hand is at 5, angle between them is ( 4 x 30°) = 120°. But at quarter to six, i.e., at 5.45, the hour-hand has moved 45 minutes towards 6. ∴ the angle between the two hands of the clock at quarter to six= 120° – 22°30' = 97°30'.
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