What is the angle (in degrees) between the two hands of a clock when the time shown by the clock is 7:30 p.m.?

Question

Dinesh was curious to know the angle between the hour and minute hands of a clock, so when he see10:10 in a clock he calculates the shorter angle between the hands.
Which time will also make the same angle between the hour and minute hand as calculated by Dinesh?

Answer 1

Minute hand is at 6 and it makes an angle of 6*30 = 180 deg from 12.
Hour hand is between 7 and 8 and it makes an angle of 7*30+30*30/60 = 210 +15 = 225 deg from 12.
225 - 180 = 45 deg