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The Reflex angle between the hands of a clock at 10:25 is:

Question

The Reflex angle between the hands of a clock at 10:25 is:

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Solution

To find the reflex angle between the hands of a clock at 10:25, we first need to find the position of the hour and minute hands.

  1. The minute hand is at 25, which is 5/12 of the way around the clock. This is 150 degrees from the 12 o'clock position.

  2. The hour hand is 10 and 25/60 (or 5/12) of the way between the 10 and 11. This is 205 degrees from the 12 o'clock position.

  3. The smaller angle between the hands is the absolute difference between these two positions, which is 205 - 150 = 55 degrees.

  4. However, the question asks for the reflex angle, which is the larger angle between the hands. This is 360 - 55 = 305 degrees.

So, the reflex angle between the hands of a clock at 10:25 is 305 degrees.

This problem has been solved

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