Multiple choice

The angle between two hands of a clock at $4:30$p.m. is __________.

  1. $45^o$
  2. $90^o$
  3. $180^o$
  4. $60^o$
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A Correct answer
Explanation

At 4:30, the minute hand is at 6 (180 degrees). The hour hand moves 0.5 degrees per minute; at 30 minutes past 4, it is at 120 + (30 * 0.5) = 135 degrees. The difference is 180 - 135 = 45 degrees.

AI explanation

Using the clock angle formula, we find the angle by calculating 30 times the hours minus 5.5 times the minutes. For 4:30, this gives 120 minus 165, which equals negative 45 degrees, and the absolute value is 45 degrees. The angle between the two hands of the clock is 45 degrees.

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