The arc between the 4 and the 5 is (360/12) = 30 degrees.
The hour hand takes a full hour to creep from the 4 to the 5, so it moves at the rate of ( 30 degrees / 60 minutes ) = 1/2 degree per minute.
In 20 minutes, the hour hand moves (20 x 1/2) = 10 degrees.
At 4:20 , the minute hand is right square on the 4, and the hour hand is 10 degrees ahead, on its way to the 5 .
The angle between them is 10 degrees.
L oo k a t t h e p i c t u re . β = 36 0 o : 12 = 3 0 o 1 h 20 min = 60 min 20 min = 3 1 α = 3 1 ⋅ 3 0 o = 1 0 o ← an s w er
At 4:20, the angle between the hour and minute hands is 10 degrees. This is determined by calculating the positions of both hands in degrees from the 12 o'clock position. The hour hand is at 130 degrees and the minute hand is at 120 degrees, resulting in a difference of 10 degrees.
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