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If the time is 2:30, what is the angle between the hour and minute hands?

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Question: If the time is 2:30, what is the angle between the hour and minute hands?

Options:

  1. 105 degrees
  2. 120 degrees
  3. 135 degrees
  4. 150 degrees

Correct Answer: 105 degrees

Solution: 

At 2:30, the hour hand is at 75 degrees (2 hours * 30 degrees + 30 minutes * 0.5 degrees) and the minute hand is at 180 degrees (30 minutes * 6 degrees). The angle between them is |75 - 180| = 105 degrees.

If the time is 2:30, what is the angle between the hour and minute hands?

Practice Questions

Q1
If the time is 2:30, what is the angle between the hour and minute hands?
  1. 105 degrees
  2. 120 degrees
  3. 135 degrees
  4. 150 degrees

Questions & Step-by-Step Solutions

If the time is 2:30, what is the angle between the hour and minute hands?
  • Clock Angles – Understanding how to calculate the angles between the hour and minute hands of a clock based on their positions.
  • Time Conversion – Converting hours and minutes into degrees to find the positions of the clock hands.
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