Correct Answer - Option 3 : 190˚
The angle between the hour hand and the minute hand when the clock shows 10:20 can be calculated by using the following formula:
Angle = \(\frac{{11}}{2} \times M - 30 \times H\)
Where M = Minutes and H = Hours
Here M = 20 and H = 10
Therefore, we get angle = \(|\frac{{11}}{2} \times 20 - 30 \times 10|\) = |110 – 300| = 190˚
Hence, 190˚ is the correct answer.