90 degrees
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110 degrees.110 degrees.110 degrees.110 degrees.
Picturing a clock face, a 180 degree angle appears as if the time was 6:00.
If the little hand stayed on the 12, the angle would be 120°. Assuming both hands are pointing to 12 o'clock, when the big hand has moved to 20 past (1/3 of the way round) the little hand will have moved 1/3 of the way to the next number (1). So the angle between the hands will be: 1/3 × 360° - 1/3 × 1/12 × 360° = 120° - 10° = 110°.
90 degrees. At this time the small hand will be at the 9 with a bearing of 270 and the large will be at the 12 with a bearing of 0. The difference between these is 270 degress or 90 degrees but as 90 degrees is smaller that is the one we use.
Time to get a new clock