At 2:30 p.m., the angle between the minute hand of the clock and the hour hand is degrees______ .

At 2:30 p.m., the angle between the minute hand of the clock and the hour hand is degrees______ .


∵ the hour hand turns 0.5 ° per minute on the clock face, and the minute hand turns 6 ° per minute. ∵ at 2:30 p.m., the angle between the hour hand and the minute hand can be regarded as 0.5 ° × 30 = 15 ° when the hour hand turns 2:30 p.m., and the minute hand is on the number 6. ∵ there are 12 numbers on the clock, and the angle between each two adjacent numbers is 30 °, and the angle between the minute hand and the hour hand is 4 × 30 ° - 15 ° at 2:30 p.m. = 105 °