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 ×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
=> x = 640/11 = 58 × 2/11 minutes
Time = 8 hours 58 × 2/11 minutes