the formule for finding the angle between hour hand minute hand is (11 M)/2- 30h.

or 30h - (11m)/2. because any angle made twice in an hour

so the answer is exactly 75 degrees.

hour hand takes 155 degree at8:30

the minute hand takes 180 degree after the 30 minutes

so that the angle difference between hour and minute hand is 175 degree.

convert the gn time into hrs 8.30 i.e (510/60) or (17/2)hrs...we noe dat in 12 hrs the angle made by hour hand is 360deg...therefore say A [(17/2)*(360/12)]deg or 255 deg ....also noe dat minute hand make 360 deg in 60 min...therefore say B [30*360/60] deg or 180 deg .....the difference between A nd B gives u the angle between hour hand nd minute hand i.e 255 deg - 180 deg 75 deg.