Multiple choice

The reflex angle between the hands of the clock at 10:25 is.

  1. $180^o$
  2. $192 \dfrac{1}{2}^o$
  3. $195^o$
  4. $197 \frac{1}{2}^o$
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D Correct answer
Explanation

Angle = |30H - 5.5M|. H=10, M=25. Angle = |300 - 137.5| = 162.5. Reflex angle = 360 - 162.5 = 197.5 degrees.

AI explanation

Using the clock angle formula, the angle between the hands equals 30 times the hours minus 11 over 2 times the minutes. Substituting the values for 10:25, we get 300 minus 137 and a half, which gives an acute angle of 162 and a half degrees. The reflex angle is the larger angle around the clock face, calculated as 360 minus 162 and a half, resulting in 197 and a half degrees.

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