Multiple choice

DIRECTION for the question: Solve the following question and mark the best possible option. At 8:30, the hour hand and the minute hand of clock form an angle of

  1. 75

  2. 78

  3. 65

  4. 67

  5. 50
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A Correct answer
Explanation

At 8:30, the minute hand is at 6 (180 degrees). The hour hand moves 0.5 degrees per minute. At 8:30, it is at 8 * 30 + 30 * 0.5 = 255 degrees. The difference is 255 - 180 = 75 degrees.

AI explanation

Using the clock angle formula, |30H - 5.5M|, we substitute H = 8 and M = 30. This gives |30(8) - 5.5(30)|, which equals |240 - 165|. The absolute difference is 75, so the hands form an angle of 75 degrees.

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