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What is the degree measure of the smaller angle between the hour hand and the minute hand of a clock at exactly \(2:45\) p.m. on a 12-hour analog clock?

 Feb 4, 2022
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Minute hand moves 6 degree per minute past 12      45 min   then    = 270   degrees

  hour hand moves 1/2 degree per minute    165 min  then becomes 82.5 degrees

 

  the smaller angle is then   360 - 270     + 82.5 = 172.5 degrees

 Feb 4, 2022

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