Multiple choice

At what angle are the hands of a clock inclined at 20 minutes past 6 a.m.?

  1. 90o

  2. 80o

  3. 75o

  4. 70o
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

At 6:20, the minute hand is at 4 (20 minutes). The hour hand has moved past 6 by (20/60) * 30 degrees = 10 degrees. The angle between the 4 and 6 markers is 60 degrees. The total angle is 60 + 10 = 70 degrees.

AI explanation

The angle between the hands is calculated using the formula: angle = absolute value of (30 times the hours minus 5.5 times the minutes). At 6:20, the calculation is (30 times 6) minus (5.5 times 20). This equals 180 minus 110, so the angle is 70 degrees.

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