Solution:Between 8 and 9 O'clock t = 8,Let t hour x minutes the angle between both hand is 80°
Case-I:
When hour hand ahead the minute hand
80° = [30(8 - x/5) + x/2]
80° = 240 - 6x + x/2
(11x)/2 = 160
x = (160 x 2)/11
= 320/11 = 29 1/11 minutes
Time = 8 hours 29 1/11 minutes
Case-II: When minute hand ahead the hour hand
80° = [30(x/5 - 8) - x/2]
80° = 6x - 240 - x/2
11x 2 = 320
640 11 2 11 ⇒x= = 58 minutes
Time = 8 hours 58 2 11 minutes