Multiple choice

What is the angle between the hands of a clock at 20 minutes past 6 am?

  1. 60°

  2. 80°

  3. 75°

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

At 6:20, the hour hand is at 6 + 20/60 = 6 + 1/3 = 19/3. Angle of hour hand = (19/3) * 30 = 190 degrees. Angle of minute hand = 20 * 6 = 120 degrees. Difference = 190 - 120 = 70 degrees.

AI explanation

Using the standard clock angle formula, at 6:20 the hour hand is at 6 multiplied by 30 degrees plus 20 multiplied by 0.5 degrees, which totals 190 degrees. The minute hand at 20 minutes is positioned at 20 multiplied by 6 degrees, totaling 120 degrees. The difference between the hour hand at 190 degrees and the minute hand at 120 degrees gives an angle of 70 degrees.

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