Question

At $2$ o'clock, the hands of a clock make an acute angle and a reflex angle. Calculate the size in degrees, of each of these angles.

Answer 1

At $2$ o'clock minute hand is at $12$ and hour hand is at $2$

We know,

$1rotation=360°$

So, angle at $2$$=\frac{2}{12}\times 360°=60°$

Hence, acute angle $=60°$

and reflex angle $=360°-acuteangle=360°-60°=300°$.