From the given options, at what angle are the heads of a clock inclined at 10 minutes to 2 (Smaller angle)?

115°

At 2 o'clock,

Minute hand is at 0 degree

Hour Hand is at (10×6) = 60 degrees

Thus 10 minutes ago,

Minute hand is at -(2×30) = -60 degrees (From Previous Position)

So relative position of Minute hand (at 10 minutes to 2) and Hour hand (at 2) = 60-(-60) = 120 degrees

Now position of Hour Hand 10 mins before 2 = -(10×0.5) = -5 degrees

Now relative position of Minute hand and Hour hand (at 10 minutes to 2) = (120-5) = 115 degrees

The correct answer is Option (1) → 115°