The angle in your wrist watch at 10 hours, 22 minutes will be

Given:

Your wrist watch at 10 hours, 22 minutes.

Formula Used:

The angle between the hour hand and minutes hand

θ = (30H - 11 M/2)

Calculation:

Here, M = 22, H = 10

By using the above formula

θ = |30 × 10 - (11/2) × 22|

θ = |300 - 121|

θ = 179° 

∴ The correct answer is 179°  

Alternate Method 

Angle made by minuts hand in 22 minuts = (360/60) × 22  = 132° 

Now, hour hand makes an angle 360° in 720 minuts.

Total number in minuts at 10 hours, 22 minutes

⇒ 10 × 60 + 22 = 622 

So, angle made by hour hand at 10 hours, 22 minutes

⇒ (360°/720°) × 622 = 311° 

Angle made between the minuts hand and the hour land

⇒ 311° - 132° = 179°  

∴ The correct answer is 179°