Multiple choice

At what times do the hands of a clock lie in a straight line ?

  1. $4:00$
  2. $5:00$
  3. $6:00$
  4. $7:00$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The hands of a clock lie in a straight line when they are either together (0 degrees) or opposite (180 degrees). At 6:00, the minute hand is at 12 and the hour hand is at 6, forming a 180-degree angle.

AI explanation

For the hands of a clock to lie in a straight line, they must form an angle of 180 degrees. Using the clock angle formula, we find that at 6 hours and 0 minutes, the angle is 30 times 6 minus 5.5 times 0, which equals exactly 180 degrees. Therefore, the hands lie in a straight line at 6:00.

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