Question

find the angle between the hands of a clock when the time is 5.40

Answer 1

First note that a clock is a circle made of 360 degrees, and that each number represents an angle and the separation between them is 360/12 = 30.   At 5:40, the hands of the clock are at 5 and 8. Therefore, angle between them is 3×30=90°

Answer 2

Here is your answer
Clock make an 90 degree angle when the time is 5.40

Hope it helps you