Find the bigger angle in degrees formed between the hour hand and the minute hand at exactly 9:209:20.
Note: The red color is the hour hand and the yellow color is the minute hand.
We know each hour space is 360/12= 30 degrees. When it is 9:20, the hour hand is 1/3 the way between 9 and 10. It is 10 degrees above 9 o clock. Between the hours 4 and 9 is 5 spaces so 5*30=150. The smaller angle in the clock is 150+10=160 degrees. Then the bigger angle is 360-160=200 degrees.
Hour hand moves 0.5 degree per minute
at 9:00 it has moved 270 degrees
in 20 more minutes it moves 10 degrees = 280 degrees
minute hand moves 6 degrees per minute at 20 minute = 120degrees
360 - 280 + 120 = 200o