Multiple choice

What is the angle between the two hands of a clock when the time shown by the clock is 3:20 pm?

  1. 15°

  2. 20°

  3. 25°

  4. 30°

  5. 35°
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Angle = |30H - 5.5M|. For 3:20, H=3, M=20. Angle = |30(3) - 5.5(20)| = |90 - 110| = 20 degrees.

AI explanation

Using the clock angle formula, we calculate 30 times the hours minus 5.5 times the minutes. At 3:20, the calculation is 30 times 3 minus 5.5 times 20, which equals 90 minus 110, giving a negative angle of 20 degrees. Since we need the interior angle, we take the absolute value to get 20 degrees. The result is 20 degrees.

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